A line contains the points (8, 9) and (–12, –7). Using point-slope form, write the equation of the line that is parallel to the

Question

KiRa [710]

3 years ago

11

A line contains the points (8, 9) and (–12, –7). Using point-slope form, write the equation of the line that is parallel to the

given line and that passes through (–5, –15).

Mathematics

2 answers:

kozerog [31] · Answer 1 · 2022-07-31T09:45:19+03:00

For the answer to the question above,
The slope of the line of the line is calculated through the equation,
m = (y2 - y1) / (x2 - x1)

Using the first two points in the given,
m = (-7 - 9) / (-12 - 8) = 4/5

The line parallel to this has also a slope of 4/5. Through the point-slope form, the equation of the second line is,
y - -15 = (4/5)(x - -5)

Simplifying gives the answer of,
y = (4/5)x -11

Eliminating the fraction,
5y = 4x - 55

I hope my answer helped you.

Paha777 [63] · Answer 2 · 2022-07-31T11:15:46+03:00

Paha777 [63]3 years ago

5 0

Hello there.
<span>A line contains the points (8, 9) and (–12, –7). Using point-slope form, write the equation of the line that is parallel to the given line and that passes through (–5, –15).</span>m = (y2 - y1) / (x2 - x1)