Question

Which equation represents the line that passes through the point (-3, -3) and is perpendicular to the line 2y + x = 4?

Answer 1

y=-3

Explanation:

The x intercept is (4,0)

The y intercept is (0,2)The answer in y-mx+b Y=-1/2x+2

the y answer = 2-x/2

the x answer = x=4-2y

standard form = 2y+x=4

slope m=-1/2

Answer 2

y = 2x + 3

Explanation:

to find the slope we can convert the equation into slope-intercept form

2y + x = 4

subtract x from both sides

2y = -x + 4

then divide everything by 2

y = (-1/2)x + 2

a perpendicular slope is the opposite reciprocal of the original slope

basically -1/2 turns into 2

the equation in slope intercept form is y = 2x + b and we have to find b

we can plug the points in

-3 = 2(-3) + b

multiply

-3 = -6 + b

and add

b = 3

y = 2x + 3 is your answer