Step-by-step explanation:
Formulas and Formats we'll be using:
Slope Formula: [tex]m=\frac{y2}{x2} -\frac{y1}{x1}[/tex]
Slope-Intercept form: [tex]y=mx+b[/tex]
m = slope
b = y-intercept
Substitute (-6, 10) and (-3, -2) into the slope formula:
[tex]m=\frac{-2}{-3} -\frac{10}{-6}[/tex]
Simplify:
[tex]m=\frac{-12 \div 3}{3 \div 3}=\frac{-4}{1}[/tex]
[tex]m=-4[/tex]
*Per every -4 y, x increases by 1.
Points Included:
(-6, 10)
(-5, 6)
(-4, 2)
(-3, -2)
(-2, -6)
(-1, -10)
(0, -14)
Y-intercept:
Y-intercept represents x when it's equal to 0.
Using our points, we can determine that the y-intercept is at the point:
(0, -14)
-14 is the y-intercept.
Create a Slope-intercept form equation:
Formula: [tex]y = mx + b[/tex]
Substitute the slope, and y-intercept into the equation:
[tex]y=-4x-14[/tex]
Your equation is: [tex]y=-4x-14[/tex]
