Question

A line contains the points (0, −3) and (−8, −9). Which of the following represents the equation of the line?A.)y=−0.75x−3B.)y=6x−8C.)y=0.75x-3D.)y=4/5x-5

Answer 1

C) y=0.75x-3

Step-by-step explanation:

If the line contains the points (0, −3) and (−8, −9).

The slope-intercept form of the equation of the line is:

`y=mx+b`

First, determine the slope(m) of the line.

`\begin{gathered} \text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =(-3-(-9))/(0-(-8)) \\ =(-3+9)/(0+8) \\ =(6)/(8) \\ =0.75 \end{gathered}`

Using the point (0,-3)

`\begin{gathered} y=mx+b \\ -3=0.75(0)+b \\ \implies b=-3 \end{gathered}`

Therefore, the equation of the line is:

`y=0.75x-3`

C is the correct choice.