Question

What will be the equation of straight line passing from point $(-2,3)$, having slope of $2$?

• A. $y=2x-7$
• B. $y=2x+7$
• C. $2y=x+3$
• D. $3y+2y=1$

Answer 1

The correct option is B $y=2x+7$

Since, we are given with one point and slope to find equation of straight line.
$\therefore$ we will use slope intercept form of line to get the equation.
$\Rightarrow y=mx+c$.
Where $m$ is the slope and $c$ is y-intercept.
So, given slope $m=2$ and a point $(-2,3)$ through which line passes.

On putting values, we get,
$\Rightarrow y=mx+c\Rightarrow 3=2(-2)+c\Rightarrow 3=-4+c\Rightarrow c=7$
Now, putting values of y intercept and slope in equation we get,
$y=2x+7.$