Question

Please help!

Answer 1

Answer:

the second option: $7x+4y=44$

Step-by-step explanation:

So when a line is parallel, it means that it has the same slope and a different y-intercept, it's important that there is a different y-intercept, otherwise it would be the same line, and the "two lines" would intersect at infinite points.

Anyways by looking at the graph you have two points (-8, 5) and (-4, -2). So the run in this case was 4 and the rise was -7. This is a slope of -7/4. So we have the equation: $y=-\frac{7}{4}x+b \text{ where b}\ne-9}$. Since it passes through the point (8, -3) we can plug that in as (x, y) to solve for b (the y-intercept)

Plug in (8, -3) as (x, y)

$-3=-\frac{7}{4}(8)+b$

Multiply the -7/4 and 8

$-3 = -14+b$

add 4 to both sides

$11 = b$

So this gives us the equation:

$y=-\frac{7}{4}x+11$

Since it's asking for it in standard form you move the 7/4 x to the other side

Add 7/4x to both sides

$\frac{7}{4}x+y=11$

Multiply both sides by 4 to cancel out the fraction

$7x+4y=44$