Question

The equation of the line that goes through the point ( 3 , 4 ) and is parallel to the line 3 x + 4 y = 2 can be written in the form y = m x + b

Answer 1

y = -3/4x + 7/4

Explanation:

For it to be parallel it needs the same slope. We can find this by putting the equation 3x + 4y = 2 into y = mx + b form and using the m.

3x+4y=2 can be written as y= -3/4x + 1/2

so the m for our new equation is -3/4

now to find b we just plug in the given point

y = -3/4x + b

4 = -3/4(3) + b

b = 4 + (-9/4)

b = 7/4 or b = 1.75