Find the equation of the line that is parallel to y = 4 - 3x and passes through the
point (1,5).

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

Given this equation, we can identify the slope to be -3 since it's in the place of m in .

Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into :

2) Determine the y-intercept (b)

Plug in the given point (1,5) and solve for b:

Therefore, the y-intercept is 8. Plug this back into :

I hope this helps!

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: