Calcolatore di rette parallele e perpendicolari

Trovare linee parallele e perpendicolari passo dopo passo

La calcolatrice troverà l'equazione della retta parallela/perpendicolare alla retta data che passa per il punto dato, con i passi indicati.

Per disegnare le linee, utilizzare la calcolatrice grafica.

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: $y=2 x + 11$ .