Question

Identify an equation in slope-intercept form for the line parallel to y 4x-9 that passes through (-5, 3).

Answer 1

D

Explanation:

Parallel lines have the same slope. This enables that they never cross. The slope of the line y = 4x-9 is 4. So the slope of the parallel line is also 4.

Substitute m = 4 and (-5,3) into the point slope form of the line:

y - 3 = 4 (x - -5)

y - 3 = 4(x+5)

Simplify to get the equation in y = mx+b.

y - 3 = 4x + 20

y = 4x + 23