Question

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

Answer 1

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

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}`