Question

Write the slope-intercept equation for the line that passes through (10, 12) and is perpendicular to 5x + 8y = 1 Please show all of your

Answer 1

Step 1: put 5x + 8y = 1 into slope-intercept form (y=mx+b)

Answer 2

8y = -5x + 1
y = -5/8x + 1/8
So your slope for this line is -5/8.

Answer 3

12 = 8/5(10) + b
12 = 16 + b
-4 = b
So your equation is: y = 8/5x - 4

Answer 4

Note that the slopes of the two lines are opposite reciprocals.
I used the point given and the slope 8/5 to find the b value.