Question

What is the equation of a line that is parallel to −3x+4y=4 and passes through the point (4, 0) ?

Answer 1

First, change the given equation to slope-intercept form:

4y = 3x + 4
y = (3/4)x + 1

Because the line we are trying to write the equation for is parallel to the above line, the new line must have the same slope (3/4).

We can then substitute (4, 0) to find the y-intercept (b):

0 = (3/4) * 4 + b
0 = 3 + b
-3 = b

Our y-intercept is -3

We can now write the whole equation:

y = (3/4)x - 3

Your final answer is y = (3/4)x - 3

Hope this helps!! Let me know if you have ANY questions.