Question

Identify an equation in slope-intercept from for the line parallel to y=-3x + 7 that passes through (2, -4)

Answer 1

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

The parallel lines have the same slope.

We have y = -3x + 7 → m = -3. Therefore y = -3x + b.

Put the coordinates of the point (2, -4) to the equation of a line:

$-4=-3(2)+b$

$-4=-6+b$            add 6 to both sides

$2=b\to b=2$

Answer: y = -3x + 2