Which of the following has a y-intercept of 3 and is perpendicular to the line 4x - 2y = 6?

A.) 2y + 3x = -3

B.) y + 3x = 2

C.) 2y - x = 6

D.) y - 2x = 4

E.) 2y + x = 6

A.) 2y + 3x = -3

B.) y + 3x = 2

C.) 2y - x = 6

D.) y - 2x = 4

E.) 2y + x = 6

**Slope-intercept form is y = mx + b**

m is the slope

b is the y-intercept

m is the slope

b is the y-intercept

Also,

**perpendicular lines have slopes which are negative reciprocals of each other.**

Get the given line into slope-intercept form, so that the slope can be identified.

4x - 2y = 6 {given line}

-2y = -4x + 6 {subtracted 4x from each side}

y = 2x - 3 {divided each side by -2}

slope of given line is 2

perpendicular slope is -1/2

**The line with a slope of -1/2 and a y-intercept of 3 is the correct choice.**

__Get line C.) 2y - x = 6 into slope-intercept form__

2y = x + 6 {added x to each side}

y = (1/2)x + 3 {divided each side by 2}

slope is 1/2 and y-intercept is 3

Line C.) 2y - x = 6 is close, but not quite

__Get line E.) 2y + x = 6 into slope-intercept form__

2y = -x + 6 {subtracted x from each side}

y = (-1/2)x + 3 {divided each side by 2}

slope is -1/2 and y-intercept is 3

**Line E.) 2y - x = 6**is the correct choice

**Ask Algebra House**