Question

What is the equation if the libe described beliw written in slope-intercept form? The line passing through the point (4, -1) and perpendicular to the libe whose equation is 2x - y - 7 = 0

Answer 1

Hello there,

What is the equation if the libe described beliw written in slope-intercept form? The line passing through the point (4, -1) and perpendicular to the libe whose equation is 2x - y - 7 = 0

Answer: y=-1/2x+1

Answer 2

y=-1/2x+1

Explanation:

To find the slope, convert the standard form of the equation into slope intercept form, y=mx+b.

2x-y-7=0

-y=-2x+7

y=2x-7

The slope is 2 and the slope of the new line will be -1/2 because the negative reciprocal creates a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

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

y+1=-1/2x+2

y=-1/2x+1