Question

Question 4

Use the given conditions to write an equation for the line in the indicated form.
Passing through (2, -4) and parallel to the line whose equation is y = -8x + 3;
slope-intercept form?
A)y=-8x + 12
B)y=-8x-12
C)y=-1/8x-3/2
D)y=8x-16

Answer 1

A) y = -8x + 12

Explanation:

Given equation: y = -8x + 3

Parallel lines have the same slope, so the slope of our desired line is also -8.

Point-slope form equation: y - y1 = m(x - x1)

Substitute the coordinates of the given point (2, -4): y - (-4) = -8(x - 2)

Simplify: y + 4 = -8x + 16

Rewrite in slope-intercept form: y = -8x + 12

Final equation: y = -8x + 12