taliyahmartin taliyahmartin
  • 24-02-2019
  • Mathematics
contestada

Write an equation for the line that passes through (4,-6) and (-7,-6). Is the line parallel or perpendicular to the y-axis?

Respuesta :

person150752
person150752 person150752
  • 24-02-2019

Answer:

y = -6, perpendicular

Step-by-step explanation:

You can use the points to find the slope of the line:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{-6-(-6)}{-7-4} =\frac{-6+6}{-7-4}=\frac{0}{-11}=0[/tex]

Then, using point-slope form, choose one set of coordinates to use for y1 and x1:

[tex]y-y_{1}=m(x-x_{1})[/tex]

[tex]y-(-6)=0(x-4)[/tex]

[tex]y+6=0[/tex]

[tex]y=-6[/tex]

Since the slope of the line is zero, it's a horizontal line. The y-axis is a vertical line, which means that the line is perpendicular to the y-axis.

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