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Write an equation is slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation (0,0),y=1/2x-1

Respuesta :

Answer:y = (1/2)x - 3

 

This is in slope intercept form: y = mx+b where m=slope, b = y-intercept

Slope is 1/2

Perpendicular line will have a slope that is the negative reciprocal of this slope.

m⊥ = -1/m = -1/(1/2) = -2

 

You are looking for equation of a line through (-2,2) with slope m = -2

 

Using point slope formula: y-y1 = m(x-x1) with (x1,y1) = (-2,2) and m = -2

 

y - 2 = -2(x-(-2))

y - 2 = -2(x+2)

y - 2 = -2x - 4

y = -2x - 4 + 2

y = -2x - 2

Step-by-step explanation:

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