Question

What is an equation of the line that passes through the points (5, 2) and (-5, -6)?​

Answer 1

Answer:

y=4/5x + 2

Step-by-step explanation:

y=mx+b

find slope which is 8/10=4/5

choose a y and plug into problem

Answer 2

Answer:

y = (4/5)x - 2

Step-by-step explanation:

First we must find the slope. This is calculated by dividing the difference of the y-coordinates by the difference of the x-coordinates.

Δ y-coordinates: 2 - (-6) = 2 + 6 = 8

Δ x-coordinates: 5 - (-5) = 5 + 5 = 10

slope = m = 8/10 = 4/5

Now, we can write the line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Choose (5, 2) (or you can use (-5, -6); it should get you the same answer) to plug into the equation to solve for b:

y = mx + b

2 = (4/5) * 5 + b

b = 2 - 4 = -2

Thus, our equation is y = (4/5)x - 2.

~ an aesthetics lover