Question

Write an equation in slop-intercept form for the line that passes through (5, 4) and is parallel to the line y = 2x + 1.

Answer 1

Answer:

y = 2x - 6

Step-by-step explanation:

The slopes of parallel lines have the same slope, so the other line must also have a slope of 2.

First, we know that an equation in point-slope form is y-y1 = m(x-x1). We can plug in the values here (5, 4) into the equation:

y - 4 = 2(x-5)

Simplify:

y - 4 = 2x - 10

Therefore, the equation is:

y = 2x - 6