Respuesta :
y = mx + b
To find the slope(m), you use the slope formula:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
You plug in the points into the equation.
[tex]m = \frac{-4 - (-4)}{0 - 2}[/tex]
[tex]m = \frac{-4+4}{0-2} = \frac{0}{-2} =0[/tex]
The slope is 0
y = 0x + b
Any number multiplied by 0 is 0. So:
y = b
To find b, you plug in the y value of either of the points.
-4 = b
Your equation is:
y = -4 (This is a horizontal line)