Question

On a coordinate plane, a line with negative slope goes through (negative 8, 6) and (4, negative 4). A point is at (negative 6, 10).

Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (–6, 10)?

Answer 1

(6, 0),(-6,10)

Explanation:

(6, 0),(-6,10)

Explanation:

Find the slope of the first line.

Points:

A(-8, 6), B(4, -4)

m = Slope = change in y over the change in x =

Plug (-6, 10) into y = mx + b to get your y intercept using the same slope

Additional info: Because its parallel the slopes are the same but the only thing we need to find is the y intercept to find the equation to the second line.

y = -5/6x + b

10 = -5/6(-6) + b

10 = 5 + b

-5 -5

5 = b

Write the equation

y = -5/6x + 5

Plug in 0 for y to get your x-intercept and solve to get your second point of the ordered pair

0 = -5/6x + 5

-5 -5

-5 = -5/6x

6 = x

Your ordered pair is:

(6, 0)

Answer 2

(6, 0),(-6,10)

Explanation:

Find the slope of the first line.

Points:

A(-8, 6), B(4, -4)

m = Slope = change in y over the change in x =
`(y2-y1)/(x2-x1) = (-4-6)/(4-(-8)) =(-10)/(12) = -(5)/(6)`

Plug (-6, 10) into y = mx + b to get your y intercept using the same slope

Additional info: Because its parallel the slopes are the same but the only thing we need to find is the y intercept to find the equation to the second line.

y = -5/6x + b

10 = -5/6(-6) + b

10 = 5 + b

-5 -5

5 = b

Write the equation

y = -5/6x + 5

Plug in 0 for y to get your x-intercept and solve to get your second point of the ordered pair

0 = -5/6x + 5

-5 -5

-5 = -5/6x

6 = x

Your ordered pair is:

(6, 0)