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Rechner für parallele und senkrechte Geraden

Parallele und senkrechte Geraden Schritt für Schritt finden

Der Rechner ermittelt die Gleichung der zur gegebenen Geraden parallelen bzw. senkrechten Geraden, die durch den gegebenen Punkt verläuft, und zeigt die Rechenschritte an.

Zum Zeichnen von Geraden verwenden Sie den Grafikrechner.

Find the equation of the line to the line passing through the point (, )

Enter the equation of a line in any form: y=2x+5, x-3y+7=0, etc.
If you need to find a line given two points or a slope and one point, use line calculator.
To find a slope, use slope calculator.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

Solution

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: $$$y=2 x + 11$$$.