Question

Points are -2,0. 6,0.
Write the equation of this line in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

To find the equation of the line passing through the points \((-2, 0)\) and \((6, 0)\), we start by calculating the slope (m) of the line using the formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Using the points \((-2, 0)\) (where \(x_1 = -2\) and \(y_1 = 0\)) and \((6, 0)\) (where \(x_2 = 6\) and \(y_2 = 0\)):

\[
m = \frac{0 - 0}{6 - (-2)} = \frac{0}{6 + 2} = \frac{0}{8} = 0
\]

Since the slope is 0, this indicates that the line is horizontal.

A horizontal line at \(y = 0\) means that the line can be represented as:

\[
y = 0
\]

This is already in slope-intercept form (\(y = mx + b\)), where \(m = 0\) (the slope) and \(b = 0\) (the y-intercept).

Thus, the equation of the line in slope-intercept form is:

\[
\boxed{y = 0}
\]