Answer:
C) y=0.75x-3
Explanation:
If the line contains the points (0, −3) and (−8, −9).
The slope-intercept form of the equation of the line is:
[tex]y=mx+b[/tex]First, determine the slope(m) of the line.
[tex]\begin{gathered} \text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =\frac{-3-(-9)}{0-(-8)} \\ =\frac{-3+9}{0+8} \\ =\frac{6}{8} \\ =0.75 \end{gathered}[/tex]Using the point (0,-3)
[tex]\begin{gathered} y=mx+b \\ -3=0.75(0)+b \\ \implies b=-3 \end{gathered}[/tex]Therefore, the equation of the line is:
[tex]y=0.75x-3[/tex]C is the correct choice.
