SOLUTION: write an equation in slope intercept form of the line that passes through the given point and is perpendicular to the given line. Given: (-3,1); y=1/3x+2, (4,-3); 2x-7y=14

Question 999556: write an equation in slope intercept form of the line that passes through the given point and is perpendicular to the given line. Given: (-3,1); y=1/3x+2, (4,-3); 2x-7y=14

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
(4,-3); 2x-7y=14

Solve for y and adjust into slope intercept form.

Slope is .

Determine what is negative reciprocal of .
That would be , and this is the slope of the line PERPENDICULAR to the given .

Line to be found, if in slope-intercept form is and you want to find b.

Use the point which this line must pass through.

-
Line sought, in slope-intercept form is . THIS LINE is perpendicular to 2x-7y=14 and passes through the required point (4,-3).

Adjust the line into standard form, IF YOU WANT, since your given line was in standard form.

The two red-outlined equations are equivalent.
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