Question

M = 3, through (1,-1) Point-Slope Slope intercept

Answer 1

Answer:

$\large\boxed{y+1=3(x-1)}\\\\\boxed{y=3x-4}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - a point on a line

We have

$m=3,\ (1,\ -1)\to x_1=1,\ y_1=-1$

Substitute:

$y-(-1)=3(x-1)\\\\\boxed{y+1=3(x-1)}$

Convert to the slope-intercept form

$y=mx+b$

m - slope

b - y-intercept

$y+1=3(x-1)$            use the distributive property

$y+1=3x-3$             subtract 1 from both sides

$\boxed{y=3x-4}$