Question

Line s passes through the point (4,5) and is parrellel to the line with the equation 4x+3y=24. What is the equation for line s in slope intercept form?

Answer 1

Answer: y = -4/3x + 31/3

Explanation:

First, covert 4x + 3y = 24 into slope-intercept form.

4x + 3y = 24

3y = -4x + 24

y = -4/3x + 8

Then, we know that it is given that the two lines are parallel, which shows that the two equations will have the exact same slope.

y = -4/3x + b

It is also given that line s passes through (4, 5).

5 = -4/3(4) + b

5 = -16/3 + b

31/3 = b

y = -4/3x + 31/3