Question

PLEASE HELP!!!!! I NEED THE ANSWER IN AN HOUR

Write the equation of line, in slope-intercept form, that is perpendicular to y=1/4x and passes through the point (2, -5). Your answer must be in y = mx + b form or will be marked wrong.

Answer 1

Perpendicular to y=
`(1)/(4) x`: m=-4, point passes thru (2, -5)

`y-y_(1)=m(x-x_(1))`
y-(-5)=-4(x-2)
y+5=-4x+8
y=-4x+3

Answer 2

Perpendicular lines have reciprocal slopes, so we have the slope 1/4 so the slope of the perpendicular line is -4. We input the given point to find the y-intercept.

-5 = -4(2) + b
b = 3

So the equation that is perpendicular is y = -4x + 3