Question

write the slope intercept equation for the line that passes through (8,12) and is perpendicular to -4x-7y=14

Answer 1

Find the slope of the line

-4x-7y=14

by solving for y

y = -(4/7)x -2

The slope is the -4/7

perpendicular lines have slopes that are negative reciprocals,

The slope for the new line will be 7/4

Then use this new slope and the point (8,12) to find "b", the y-intercept.

If you use the point - slope form of an equation of a line we get:

y-12 = 7/4(x-8)

which becomes

y = 7/4 x -2

If I did the algebra correctly.

OK?