chanel69
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WILL MARK BRAINIEST
What is the equation of the line that goes through the point (-4,1) and is perpendicular to the line represented by the equation below?
2x-y=17

A.y= -1/2x+1
B.y= - 1/2x+3
C. y= -1/2x-1
D. y= -1/2x-3

Respuesta :

nap14hockey

So, the first thing we need to do is find the slope, so we'll put the equation into slope intercept form

[tex]y+17=2x\\y=2x-17[/tex]

So, our slope in the original is 2, so to make it perpendicular we need to take the negative multiplicative inverse.  So, we flip the fraction, and multiply it by negative 1.  So, we get -1/2 for our new slope.  Now, we just put the numbers into point-slope form and solve


[tex]Y-1=-\frac{1}{2} (x+4)\\Y-1=-\frac{1}{2}x+2\\ Y=-\frac{1}{2}x + 3[/tex]

C is the correct answer

So, the first thing we need to do is find the slope, so we'll put the equation into slope intercept form




So, our slope in the original is 2, so to make it perpendicular we need to take the negative multiplicative inverse.  So, we flip the fraction, and multiply it by negative 1.  So, we get -1/2 for our new slope.  Now, we just put the numbers into point-slope form and solve





C is the correct answer


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