Question

Can someone please help me with this questions please help me I really need help please.

Answer 1

C) Line A does not intersect Line B.

Explanation:

Line A passes through (6 ,-30) & (-2 , 10)

Line B passes through (-4 , 28) & (2 , -2)

Find the slopes for each line. To find the slope, use the slope formula:

slope (m) =
`(y_2 - y_1)/(x_2 - x_1)`

Line 1:

Let:

`(x_1 , y_1) = (6 , -30) \\(x_2 , y_2) = (-2 , 10)`

Plug in the corresponding numbers to the corresponding variables:

m =
`(10 - (-30))/(-2 - 6) = (10 + 30)/(-8) = (40)/(-8) = (-5)/(1)`

Line 2:

Let:

`(x_1 , y_1) = (2 , -2)\\(x_2 , y_2) = (-4 , 28)`

Plug in the corresponding numbers to the corresponding variables:

m =
`(28 - (-2))/(-4 - (2)) = (28 + 2)/(-4 - 2) = (30)/(-6) = (-5)/(1)`

The two lines share the same slope, therefore, they are parallel to each other. This means that they do not intersect at any given point.