Question

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

Answer 1

The line parallel to this one and through the given point would be y = -3.

Explanation:

In order to find a parallel line, we first have to accept that this is a horizontal line. This is because there is no x value in the equation. That means in order to make it horizontal as well, we need it to have no x value again.

Given the ordered pair, this means our new equation is y = -3

Answer 2

Use the point slope equation: y - y1 = m(x - x1)

(-1, -3); m = 4
Plug these numbers in.

y - (-3) = 4(x - -1)
y + 3 = 4x + 4
y = 4x + 1