Question

Write the equation of the line that is parallel to y = -2x + 4 and passes through (3, 1) in slope-intercept form.​

Answer 1

y = -2x + 7

Explanation:

y = -2x + 4

Slope in above equation is -2. Parallel lines share the same slope so the new equation will also have a slope of -2.

y-intercept through point (3, 1):

y = mx + b

1 = -2(3) + b

1 = -6 + b

b = 7

Equation of line that is parallel to original:

y = mx + b

y = -2x + 7