Answer:
[tex]y=-\frac{3}{4}x-\frac{3}{2}[/tex]
or
[tex]y=-0.75x-1.5[/tex]
Step-by-step explanation:
step 1
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=-\frac{3}{4} \\point\ (-6,3)[/tex]
substitute
[tex]y-3=-\frac{3}{4}(x+6)[/tex]
step 2
Convert to slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]y-3=-\frac{3}{4}(x+6)[/tex]
Isolate the variable y
[tex]y-3=-\frac{3}{4}x-\frac{9}{2}[/tex]
[tex]y=-\frac{3}{4}x-\frac{9}{2}+3[/tex]
[tex]y=-\frac{3}{4}x-\frac{3}{2}[/tex]
