Question

A line through (-4,6) with slope-3/2 and graph

Answer 1

`y = -(3)/(2)x`

Explanation:

Given

Passes through: (-4,6)

Slope: -3/2

Required

The equation and graph

The equation is calculated as:

`y = m(x - x_1) + y_1`

Where

`m = -(3)/(2)`

`(x_1,y_1) = (-4,6)`

So, we have:

`y = -(3)/(2)(x --4) + 6`

`y = -(3)/(2)(x +4) + 6`

Open bracket

`y = -(3)/(2)x -6 + 6`

`y = -(3)/(2)x`

See attachment for graph