SOLUTION: Write an equation of the line containing the given point and parallel to the given line. Express you answer in the form of y=mx+b. (7,8);x +8y=9. The equation of the line is y=?

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Question 275838: Write an equation of the line containing the given point and parallel to the given line. Express you answer in the form of y=mx+b.
(7,8);x +8y=9. The equation of the line is y=???
Answer by solver91311(24713) About Me  (Show Source):
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Step 1: Determine the slope of the line represented by the given equation. Put the given equation into slope-intercept form: Add to both sides, then multiply both sides by . Once the given equation is in slope-intercept form, the slope of the line will be equal to the coefficient on .

Step 2: Use the point-slope form of the equation of a line, namely:



where are the coordinates of the given point and is the slope calculated in Step 1. You can use the same slope number because parallel lines have equal slopes, in other words:



Step 3: Once you have plugged in the values for the coordinates of the given point and for the calculated slope, solve the resulting equation for (similar to the process used to rearrange the equation in step 1) to put the desired equation into slope-intercept form.

John