I need help solving this because it is a multiple choice question.

Question

Which of the equations represents the line that contains the point (-3,11) and is parallel to a line that has a slope of 8/3? Select all that apply.

A. y=8/3x+3

B. y=8/3x+19

C. 3x+8y=11

D.8x-3y=11

E. y+11=8/3(x-3)

F. y+11=8/3(x+3)

Answer 1

Hi AJ!

Parallel lines have the same slope. This means the equat and yion of the line you'll generate that goes through point (-3, 11) will have the same slope of the line given in the problem. m = 8/3

Once you have the slope, and a point on the line, you can use point-slope form to generate the equation of the line.

y - y₁ = m(x - x₁)

where x₁ and y₁ are found in the given ordered pair, and m is the slope.

Plugging in the values,

y - 11 = (8/3)(x - - 3)

Solving for y,

y - 11 = (8/3)(x + 3)

y - 11 = (8/3)x + 8

y = (8/3)x + 19

Hope this helps!