Answer:
y=3x-2
Step-by-step explanation:
Every relatio is in the form y = mx+c
x1,y1 x2,y2
(-2,-8) (-1,-5)
[tex]m = \frac{ {y}{2} - {y}{1} }{ {x}{2} - {x}{1} } [/tex]
[tex] \frac{ - 5 - (- 8 )}{- 1 - ( - 2)} = \frac{3}{1} = 3[/tex]
Now since we have found m(slope/gradient), we pick any one of the coordinates and substitute into the formula along with the gradient.
Let's pick (-2,-8)
-8=3(-2)+c
-8=-6+c
-8+6=c
-2=c
=>c=-2
So the equation becomes
y=(3)x + (-2)
