Question

Points are -2,0. 5,0.
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 in slope-intercept form \( y = mx + b \), we first need to determine the slope \( m \) using the two points provided: (-2, 0) and (5, 0).

1. **Calculate the slope \( m \)**:

The formula for the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:

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

Here, we will take \((x_1, y_1) = (-2, 0)\) and \((x_2, y_2) = (5, 0)\):

\[
m = \frac{0 - 0}{5 - (-2)} = \frac{0}{5 + 2} = \frac{0}{7} = 0
\]

The slope \( m \) is 0, which indicates that the line is horizontal.

2. **Determine the y-intercept \( b \)**:

Since the line is horizontal and passes through the y-coordinate 0 (both points have \( y = 0 \)), the equation is:

\[
y = 0
\]

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

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

\[
\boxed{y = 0}
\]