Question

Write the equation in slope-intercept form, for the line that would coincide with (be in line with) line segment AB.

Answer 1

Answer:

$y=2$

Step-by-step explanation:

We are finding the equation of the line that coincide with line segment AB.

So, we can find the equation by using points A and B.

$A\rightarrow(-3,2)\\B\rightarrow)(1,2)$

Slope of line (m) = $\frac{y_2-y_1}{x_2-x_1} = \frac{2-2}{1-(-3)} = 0$

Since slope = 0, therefore the line is parallel to x-axis.

The equation of line  is given by $y=mx+b$

where $m$ is slope and $b$ is y-intercept.

So equation of line AB:

where $m=0$ and $b=2$

$y=(0)x+2$

$y=0+2$

$y=2$