Answer:
y = [tex]\frac{1}{5}[/tex]x - [tex]\frac{8}{5}[/tex]
(hopefully this is correct! have a nice day :DD )
Step-by-step explanation:
First we need to get the equation into y=mx+b form
(given) -2y - 10x = -9
(add 9 & 2y to both sides) 9 - 10x = 2y
(flipping it) 2y = -10x + 9
(dividing both sides by 2) y = -5x + 4.5 (or 4 1/2)
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Perpendicular lines have opposite sign reciprocal slopes, so the equation so far is:
y = [tex]\frac{1}{5}[/tex]x + b
To find our b (y-axis intercept) we will plug in the points given
(equation) y = [tex]\frac{1}{5}[/tex]x + b
(plug-in) -2 = [tex]\frac{1}{5}[/tex](-2) + b
(multiply) -2 = -[tex]\frac{2}{5}[/tex] + b
(add 2/5 to both sides) -[tex]\frac{8}{5}[/tex] = b
(answer) b = -[tex]\frac{8}{5}[/tex]
(plug-in b) y = [tex]\frac{1}{5}[/tex]x - [tex]\frac{8}{5}[/tex]
