What is the equation of the line in slope-intercept form that passes through point (3, −2) and is parallel to the line y = 2x + 4? Show all necessary steps.

Question

What is the equation of the line in slope-intercept form that passes through point (3, −2) and is parallel to the line y = 2x + 4? Show all necessary steps.

Answer 1

The line with equation y = 2x + 4 has slope 2.

Parallel lines have the same slope.

So, any line parallel to the given line also has slope 2.

Equation of desired line has equation of the form y = 2x + b.

Since (3, -2) is a point on the line, we have -2 = 2(3) + b. So, b = -8.

Equation of line is y = 2x - 8.