Rechner für parallele und senkrechte Linien

Your input: find the equation of the line parallel to the line $y=2 x + 5$ passing through the point $\left(-3,5\right)$.

The equation of the line in the slope-intercept form is $y=2 x + 5$.

The slope of the parallel line is the same: $m=2$.

So, the equation of the parallel line is $y=2 x+a$.

To find $a$, we use the fact that the line should pass through the given point: $5=\left(2\right) \cdot \left(-3\right)+a$.

Thus, $a=11$.

Therefore, the equation of the line is $y=2 x + 11$.

Answer: $y=2 x + 11$.