Question

How do you write an equation in slope-intercept form for a line parallel to y = -5 that passes through the point (-1,-8)?

Answer 1

`y = -8`

Explanation:

Slope intercept form is `y = mx + b` where `m` = slope, and `b = y`intercept `(0, b)`.

When a line is in the form `y = -5`, it has `m = 0`, therefore the line is a horizontal line. Horizontal lines have different values of `x`, but the same `y`-value. The line passes through points such as `(-1, -5), (0, -5), (2, -5), (4, -5)`.

A line that is parallel has the same slope: `m = 0`. It is also a horizontal line. To pass through `(-1, -8)` the line must be `y = -8`