Question

I forgot how to do this. I will give brainliest!

Answer 1

Answer:

A = 2, B = 3 and C = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = 2 ( subtract 2x from both sides )

3y = - 2x + 2 ( divide all terms by 3 )

y = - $\frac{2}{3}$ x + $\frac{2}{3}$ ← in slope- intercept form

with slope m = - $\frac{2}{3}$

Parallel lines have equal slopes, thus

y = - $\frac{2}{3}$ x + c ← is the partial equation

To find c substitute (2, 0) into the partial equation

0 = - $\frac{4}{3}$ + c ⇒ c = $\frac{4}{3}$

y = - $\frac{2}{3}$ x + $\frac{4}{3}$ ← in slope- intercept form

Multiply through by 3

3y = - 2x + 4 ( add 2x to both sides )

2x + 3y = 4 ← in standard form

with A = 2, B = 3 and C = 4