Answer:
[tex]y = -\frac{3}{2}x[/tex]
Step-by-step explanation:
Given
Passes through: (-4,6)
Slope: -3/2
Required
The equation and graph
The equation is calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where
[tex]m = -\frac{3}{2}[/tex]
[tex](x_1,y_1) = (-4,6)[/tex]
So, we have:
[tex]y = -\frac{3}{2}(x --4) + 6[/tex]
[tex]y = -\frac{3}{2}(x +4) + 6[/tex]
Open bracket
[tex]y = -\frac{3}{2}x -6 + 6[/tex]
[tex]y = -\frac{3}{2}x[/tex]
See attachment for graph
