Question

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

Answer 1

Answer:

$y = -\frac{3}{2}x$

Step-by-step 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

$m = -\frac{3}{2}$

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

So, we have:

$y = -\frac{3}{2}(x --4) + 6$

$y = -\frac{3}{2}(x +4) + 6$

Open bracket

$y = -\frac{3}{2}x -6 + 6$

$y = -\frac{3}{2}x$

See attachment for graph