Answer:
[tex]y=-4x-3[/tex]
Step-by-step explanation:
A line is parallel to another one when the slopes are equal. Therefore, if linear equations are represented as:
[tex]\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}[/tex]
Then, if the line is parallel to y=-4x+5. It means the slope of the other line would be -4 too.
Given that it passes through the point (-4,13);
[tex]\begin{gathered} 13=-4(-4)+b \\ 13=16+b \\ b=-3 \end{gathered}[/tex]
Hence, the equation would be:
[tex]y=-4x-3[/tex]
