What is the slope-intercept form of a line? The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
In order to find the slope-intercept form of a line, you may need to have one of the following situations:
Let m = 5 and y-intercept = 2. Then, the slope-intercept form of the line is
y = 5x + 2
Use the graph of a line given below to find the slope-intercept form.
Now, show the rise and the run so you can find the slope and also the y-intercept.
slope = rise / run = 6 / 3 = 2
y-intercept = 6
The slope-intercept form of the line is y = 2x + 6
Let m = 4 and (1, -1) be a point on the line. Find the slope-intercept form of the line.
In y = mx + b, replace m with 4
y = 4x + b
Now using (1, -1), replace y with -1 and x with 1 to find b.
-1 = 4(1) + b
-1 = 4 + b
-1 - 4 = b
-5 = b
Then, the slope-intercept form of the line is y = 4x + -5
Use (-4, -2) and (1, 8) to find the slope-intercept form of a line.
First, find the slope
Let (x_{1 ,} y_{1}) = (1, 8) and (x_{2 ,} y_{2}) = (-4, -2)
m = (y_{1} - y_{2}) / x_{1} - x_{2})
m = (8 - - 2) / 1 - -4)
m = 8 + 2 / 1 + 4
m = 10 / 5
m = 2
In y = mx + b, replace m with 2
y = 2x + b
Now using (1, 8), replace y with 8 and x with 1 to find b.
8 = 2(1) + b
8 = 2 + b
8 - 2 = b
6 = b
Then, the slope-intercept form of the line is y = 2x + 6.
Feb 04, 22 05:28 AM
What is a vector? Definition, explanations and easy to understand read life examples.
Feb 03, 22 05:45 AM
What are vertical angles? Definition, explanation and easy to understand examples.