Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.
Contains the point (-8, 7) and is parallel to the line x − 7y = 6

Question

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.
Contains the point (-8, 7) and is parallel to the line x − 7y = 6

whpalmer4 · Answer

Here are the steps you need to take:

1) find the slope of the line $x -7y=6$

2) use the point-slope formula to write the equation of a new line which contains the point $(-8,7)$ and the slope we found in step 1.

3) rearrange the equation as necessary to put it in standard form $Ax+By = C$

To find the slope of a line, put it in slope-intercept form $y = mx + b$ and read off the slope $m$

The point-slope formula is $$y-y_0 = m(x-x_0)$$where $(x_0,y_0)$ is the known point