Slope intercept form is used to represent a linear equation.Slope intercept form is written in the form of x and y, where the letters are to be filled in or solved.The beauty of slope-Intercept is that it makes it very easy to graph a line.You only have to use its slope and y-Intercept.If you want to learn how to use slope intercept form, you've come to the right place.
Step 1: Take the time to read the problem.
You need to carefully read the problem to understand what is being asked of you.The bank account increases linearly each week.If your bank account is $560 after 20 weeks of work, and $585 after 21 weeks, then you can express the relationship between how much money you have earned and how many weeks you've worked.
Step 2: The problem is related to slope-Intercept form.
Write mx+b in style.The y-Intercept is the point at which the line crosses the Y- axis, and is represented by the b-displaystyle b or the constant terms."Your bank account increases linearly each week, meaning that you are saving the same amount of money each time, which means it will have a smooth slope."It is linear because of the "smooth" uniformly consistent savings plan.It is not linear if you don't save the same amount all the time.
Step 3: You can find the slope of the line.
The rate of change is what you need to find the slope.This is a display style called Delta yDelta x.Delta is a Greek symbol which means change in.After 1 week of work, you will have earned $25 if you started with $560 and now have $585.You can subtract $560 from $585.$585$560 is the displaystyle.
Step 4: The y-Intercept can be found.
The starting point of the problem is where it intersects the y-axis.You need to know how much money you have in your account.If you had $560 after 20 weeks of work, and you know that you make $25 a week, then you can use 20 times 25 to figure out how much money you made.$500 is how much you earned in those weeks.If you subtract 500 from 560, you can figure out how much you started with.600 - 500 is 60.Therefore, the style is 60.
Step 5: The equation should be written in slope-Intercept.
The slope is 25 and the intercept is 60 so you can plug them into the equation.
Step 6: Take it out.
The amount of money earned and weeks worked are represented by y and x.Plug a different number of weeks into the equation to see how much money you've made.How much money have you made in the last 10 weeks?Substitute xdisplaystyle with 10 displaystyle to find this equation.You've made $310 after 10 weeks.Y is a manipulated variable.How many weeks would you have to work to make 800 dollars?Plug "800" into the equation to get the value.25x+60 displaystyle is 800, which is 25 x 60.You can make 800 dollars in 30 weeks.
Step 7: The equation should be written down.
Write down the equation you are working with.
Step 8: The y-term can be isolated from the equation.
If you want the y term to be by itself, move the xdisplaystyle x term over to the other side.When you move a term to the other side of an equation, you have to flip it from negative to positive."3x" was moved to the other side of the equation.By doing this, the equation should look like 4y + 3x + 16.
Step 9: The y coefficients are used to divide the terms.
The y term has a number in front of it.You're done if there isn't a coefficient in front of the y term.You should divide the equation by the number if there is a coefficient.To get the final answer in slope intercept form, you have to divide 4x, -2x and 16 by 4.The way you do it is as follows: 4y is -3x +16 and /4y and 4x are both by division.
Step 10: The terms should be identified in the equation.
If you're using the equation to plot a line, you should know that "y" represents the y-coordinate, "x" is the x coordinate, and "4" shows the Y-Intercept.
Step 11: Write down the equation of the line.
Write y=mx+bdisplaystyle in the first place.Once you have enough information, you can fill the equation.You're trying to solve a problem by finding the equation of a line that has a slope of 4 and passing through the point.
Step 12: You may call it known information if you plug in the given information.
"m" is equal to the slope and that "y" and "x" represent the given coordinates, in this case.We have the numbers "x" and "y"You can leave the "b" term in place because you don't know b yet.Here's how the equation will look if you add the relevant information: y + m + x + b.
Step 13: There is a solution for the y-Intercept.
Simply do the math to find b.Then subtract the result from 4 and -1.Here's how you do it: -4 + b + -2 + c + d + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 +
Step 14: Write the equation.
After you've solved for "b", you can fill in all of the necessary information and write the line in slope intercept form.All you need to know is the slope and the y-Intercept.
Step 15: Take the two points and write them down.
You have to write down the two points before you can write the equation of the line.Find the equation of the line that passes through if you're trying to solve the problem.Take the two points you're working with and write them down.
Step 16: To find the slope of the equation, use the two points.
The formula for finding the slope of a line that crosses two points is simply (Y2 - Y1).You can think of the first set of coordinates (x, y) as representing X1 and Y1, and the second Set ofCoordinates (1, 2, Y2).The difference between the x and y coordinates gives you the rise over run or the slope.Plug them into the equation and solve for the slope.The slope of the line is -2.
Step 17: The y-Intercept can be solved by picking one of the points.
It doesn't matter which pair of points you choose, you can pick the one with smaller numbers that are easier to work with.Let's say you've picked the points.Plug them into the equation where "mx + b" represents the slope and "x and y" represent the coordinates.To solve for "b", plug in the numbers and do the math.Here's how you do it: y, x, m, mx, b, or b.
Step 18: The numbers should be plugged into the equation.
Plug your slope and y-Intercept into the equation for a line and you're done.y + b + 3x + 2 1/3
Step 19: The equation should be written down.
If you want to graph a line, you need to write down the equation first.If you're working with an equation, write it down.
Step 20: Start near the y-Intercept.
The y intercept is represented by "b" or "+3" in the equation of a line in slope intercept form.This means that the line crosses the y axis.Put your pencil down.
Step 21: The coordinates of another point on the line can be found using the slope.
You can think of the slope as representing 4/1, the rise over the run of coordinates on the line, since you know that it's represented by 4.Every time the line moves up a point, it moves to the right on the x axisYou'll be at (0, 7) if you start at the point and go up 4 points.If you move to the right, you will get one of the points on the line.If your slope is negative, you'll either have to move the y-coordinate up or down, depending on the situation.Either way, you will get the same result.
Step 22: The two points are connected.
You can graph a line from an equation in slope intercept form by drawing a straight line through those two points.Pick another point on the line you've drawn and use the slope to move up or down to find more points.
Step 23: The point–slope form is used.
m is for m(x - x1).Another way of working with one form of the equation is to get another form.
Step 24: Take the one point given and the slope m given to us to work with.
slope m is -2The coordinates of a point are similar to any defined point on the line.By substituting the point and slope of y + 3 with the given values, we can make it simpler.What is the point-slope form?The point-slope form shows that the difference of y values for two points on one line can be directly proportional to the x values.The slope of the line is called m.Direct Proportion can be stated in a way similar to y and kx.Here we can see that the form y is kx.If there is a constant k and x and y are both variables, then y is called directly proportional to x if x is not zero.The slope as we are using it is the proportionality constant."x and y are in direct variation" can be used to express direct proportion.