Question

40 points! SAT Math help

Answer 1

Answer: y = 4

Step-by-step explanation:

Since line a and line b are parallel, they will have the same slope.

slope (m) for line a is:

`m=(y_2-y_1)/(x_2-x_1)=(5-1)/(4-(-2))=(4)/(6)\quad \rightarrow \quad m=\large\boxed{(2)/(3)}`

Next, use the Point-Slope formula on line b to find y:

`y_2-y_1=m(x_2-x_1)\\\\(x_1, y_1)=(-4,-4)\qquad (x_2,y_2)=(8.y)\qquad m=(2)/(3)\\\\\\y-(-4)=(2)/(3)\bigg(8-(-4)\bigg)\\\\\\y+4=(2)/(3)(12)\\\\\\y+4=2(4)\\\\\\y+4=8\\\\\\\large\boxed{y=4}`