Write the slope of a line parallel to 4x−6y=−18

Mariyah Bell
2022-10-16
Answered

Write the slope of a line parallel to 4x−6y=−18

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Jaylin Wheeler

Answered 2022-10-17
Author has **11** answers

First, you put the equation into the standard “slope/intercept” form.

4x -6y = -18 subtract 4x from both sides ; -6y = -18 -4x

-6y = -18 -4x divide both sides by -6 ; y = 2/3x + 3

In this standard form we see that the slope of the line (coefficient of x) is 2/3.

Any line parallel to this one must thus also have a slope of 2/3.

Any other combination of slope multiples and constant terms will therefore also be lines parallel to this one. For example: y = 2/3x + 15

4x -6y = -18 subtract 4x from both sides ; -6y = -18 -4x

-6y = -18 -4x divide both sides by -6 ; y = 2/3x + 3

In this standard form we see that the slope of the line (coefficient of x) is 2/3.

Any line parallel to this one must thus also have a slope of 2/3.

Any other combination of slope multiples and constant terms will therefore also be lines parallel to this one. For example: y = 2/3x + 15

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