Question

Write an equation that represents the line going through the points (-4, -5) and (4, 1)

y=34x+1

y=43x−6

y=−43x+2

y=34x−2

Answer 1

First, we find the slope for the equation y = mx + b, where m is slope and b is the y-intercept.

(1 - (-5)) / (4 - (-4))

(1 + 5) / (4 + 4)

6 / 8

3 / 4

That means our slope, or m, is 3/4.

So, our current equation is y = 3/4 x + b

Then, we plug in a point - say, (4 , 1).

1 = 3/4 * 4 + b

1 = 3 + b

-2 = b

That means our equation is y = 3/4 x - 2

Answer 2

Solution given.

an equation that represents the line going through the points (-4, -5) and (4, 1)

is:

we have

`y - y1 = (y2 - y1)/(x2 - x1) (x - x1) \\ y + 5 = (1 + 5)/(4 + 4) (x + 4) \\ y + 5 = (3)/(4) (x + 4) \\ 4y + 20 = 3x + 12\\ 3x - 4y = 20 - 12\\ 3x - 4y = 8`

is a required equation.