Answer:
y = -3x + 8
Step-by-step explanation:
This looks like it's in slope-intercept form.
So, they want you to write it like y=mx+b, where m is the slope and b is the y-intercept.
First, find the slope.
The slope is calculated by using: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
You have several points. Let's use (1,5) and (2,2)
[tex]y_2[/tex] = 2
[tex]y_1[/tex] = 5
[tex]x_2[/tex] = 2
[tex]x_1[/tex] = 1
[tex]\frac{2-5}{2-1}[/tex] = [tex]\frac{-3}{1}[/tex]= -3
The slope (m) is -3.
y = -3x + b
Now, find the y-intercept.
Substitute points in for y and x.
Let's use (1,5) (x,y)
x= 1
y=5
5= -3(1) +b
5 = -3 + b
b = 8
Add b to your equation.
y = -3x + 8
