Question

What is an equation of the line that passes through the points (5,-3) and (-3, -3)?

Answer 1

Answer:

y=-3

Step-by-step explanation:

First, you want the slope.

The slope is

$\frac{-3-(-3)}{-3 - 5} = \frac{0}{-8}$

0/-8 = 0, so the line is horizontal.

the y-intercept must be -3 because it never changes.

So the equation must be

y=-3

Answer 2

• (5,-3)
• (-3,-3)

Slope:-

$\\ \rm\hookrightarrow m=\dfrac{-3+3}{-3-5}=0$

Equation of line in point slope form

$\\ \rm\hookrightarrow y+3=0(x-5)$

$\\ \rm\hookrightarrow y+3=0$

$\\ \rm\hookrightarrow y=-3$