Question

Write the equation in slope intercept form of a line that passes through the given pair of points: (-2, -3), (4, 3)

Answer 1

Answer: y = 1x + (-1)

Explanation:

First we need to find the slope of the line.

The formula to find slopes is:

m =
`(y2 - y1)/(x2 - x1)`

In the given coordinates

(-2, -3) corresponds to (x1 , y1)

and

(4,3) corresponds to (y1, y2)

Substitute the values

m =
`(3 - (-3))/(4 - (-2))`

m =
`(6)/(6\\)`

m = 1

We have the slope, now we need to find b, the y-intercept

Plug the values of the coordinate (-2,-3) and m into the slope-intercept form equation and solve for b.

y = mx+b

-3 = (1*-2) + b

-3 = -2 + b

-1 = b

Substitute the slope and b value in the slope-intercept form once again but without any x or y values.

y = 1x + (-1)

or

y = x - 1