Question

Write an equation in Slope-intercept form for the line that is perpendicular to the line y = 2x - 5 that passes through the given point (4,-2).

Answer 1

Answer:

y = (-1/2)x

Step-by-step explanation:

The slope of the given line is 2, the perpendicular line wil have a reciprocal slope given by -1/2 (add a minus sign, move the slope to the denominator).

So all that's left to calculate is the offset b of a line

y = -1/2 x + b  

such that it passes through (4,-2). Filling in that point gives:

-2 = -1/2*4 + b

so b = 0!

y = -1/2x is the answer

Answer 2

Answer:

y = -1/2x.

Step-by-step explanation:

The slope of the perpendicular line = -1 / the slope of the given line.

This  is -1/2.

Using the point slope form with m = -1/2, x1 = 4 and y1 = -2 we have:

y - y1 = m(x - x1)

y - (-2) = -1/2 (x - 4)

y + 2 =  -1/2 x + 2

y = -1/2x  + 2 - 2

y = -1/2x.