Which is the equation in slope-intercept form for the line that passes through (3, 7) and is perpendicular to 3x-5y=8 a. y=5/3x+2 b. y=3/5x+2 c. y=-5/3x+12 d. y=-3/5x+5

C

Step-by-step explanation:

Perpendicular lines have slopes which are the negative reciprocal of each other. To find the slope, convert 3x-5y=8 into y=mx+b form.

3x-5y=8

-5y = -3x +8

y = 3/5 x - 8/5

The slope is 3/5 so its perpendicular slope is -5/3. Write the equation of this line through the point (3,7) using point slope form. Then simplify into y=mx+b form.

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70

step-by-step explanation: