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`

Step-by-step 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`