15) Find the equation of a line parallel to the line y = 2x + 5 that passes through the point (-2,5)

Question

asked Mar 8, 2023 54.2k views

1 Answer

MarkHu · Answer 1 · 2023-03-14T18:42:17+0000

Answer;

The equation of the line is;

Step-by-step explanation:

Given that the line is parallel to the line;

So, the slope of the line will also be;

The line also passes through the point (-2,5).

so;

we can find the y intercept of the line as;

$\begin{gathered} y=2x+b \\ \text{substituting the given point;} \\ 5=2(-2)+b \\ 5=-4+b \\ 5+4=b \\ b=9 \end{gathered}$

So, the equation of the line is;