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Answer:
[tex]y=\frac{3}{4} x-\frac{5}{4}[/tex]
Step-by-step explanation:
two points on the line are
(-1, -2)
(-5, -5)
The slope:
[tex]m=\frac{-2-(-5)}{-1-(-5)} =\frac{-2+5}{-1+5} =\frac{3}{4}[/tex]
The equation:
with (-1,-2)
[tex]y-(-2)=\frac{3}{4} (x-(-1))[/tex]
[tex]y+2=\frac{3}{4} x+\frac{3}{4}[/tex]
[tex]y=\frac{3}{4} x+\frac{3}{4} -\frac{8}{4}[/tex]
[tex]y=\frac{3}{4} x-\frac{5}{4}[/tex]
Hope this helps