Question

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

Answer 1

Answer;

The equation of the line is;

$y=2x+9$

Explanation:

Given that the line is parallel to the line;

$y=2x+5$

So, the slope of the line will also be;

$m=2$

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

so;

$f(-2)=5$

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;

$y=2x+9$