English | Español
  1. Lar
  2. calculadoras
  3. calculadoras: Álgebra I
  4. calculadora de álgebra

Calculadora de Linhas Paralelas e Perpendiculares

Encontre linhas paralelas e perpendiculares passo a passo

A calculadora encontrará a equação da reta paralela/perpendicular à reta dada passando pelo ponto dado, com as etapas mostradas.

Para desenhar linhas, use a calculadora gráfica .

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 write it in the comments below.

Solution

Your input: find the equation of the line perpendicular to the line $$$y=- 4 x - 1$$$ passing through the point $$$\left(-2,2\right)$$$.

The equation of the line in the slope-intercept form is $$$y=- 4 x - 1$$$.

The slope of the perpendicular line is negative inverse: $$$m=\frac{1}{4}$$$.

So, the equation of the perpendicular line is $$$y=\frac{x}{4}+a$$$.

To find $$$a$$$, we use the fact that the line should pass through the given point: $$$2=\left(\frac{1}{4}\right) \cdot \left(-2\right)+a$$$.

Thus, $$$a=\frac{5}{2}$$$.

Therefore, the equation of the line is $$$y=\frac{x}{4} + \frac{5}{2}$$$.

Answer: $$$y=\frac{x}{4} + \frac{5}{2}$$$.