SOLUTION: Find an equation of the line which is perpendicular to 2x + 5y = 7 and which passes through (8, 9). Express your answer in slope-intercept form.

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line which is perpendicular to 2x + 5y = 7 and which passes through (8, 9). Express your answer in slope-intercept form.      Log On


   

Question 1036784: Find an equation of the line which is perpendicular to 2x + 5y = 7 and
which passes through (8, 9). Express your answer in slope-intercept form.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
A line perpendicular to the given line would be like 5x-2y=c. Use the required and given point to find c. Solve the equation for y in terms of x and put into general form.


ax%2Bby=c-----standard form
by=-ax%2Bc
y=%28-ax%2Bc%29%2Fb
y=-%28a%2Fb%29x%2Bc%2Fb-----general form or slope-intercept form


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That shows slope is -%28a%2Fb%29 for a standard form linear equation of ax%2Bby=c.