Question

what is the equation in slope intercept form of the line that passes through the point (-0.5,7) and is parallel to the graph of y=-8x-27

Answer 1

Y= 8x +3

Explanation:

Slope intercept form = y=mx + c

Where m= gradient

Parallel lines have equal gradients

By comparison,M= -8

Equation of a line

Y - Y1 = m(x- x1)

Y-7=-8(x- (-0.5)0

y-7 = 8(x +0.5)

y-7=8x -4

y=8x+7-4

y= 8x +3

Answer 2

y =-8x + 3

Explanation:

Parallel lines have to have the same slope, and by plugging in the coordinates into the slope-intercept form of y = -8x -27, you get the answer above.