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

y=-1/2x+1

Step-by-step 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

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

y=-1/2x+1

step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )