Question

Write an equation of the
line that passes through
the given points (-3,-1)
(2, 2)

Answer 1

`y = (3)/(5)x + (4)/(5)`

Explanation:

First, find the slope:

m = (change in y) / (change in x) = rise / run

m = (2 - (-1)) / (2 - (-3)) = (2 + 1) / (2 + 3) = 3/5

Then, write the equation of the line in point-slope form:

y - b = m(x - a) where (a, b) is a point on the line

y - 2 = (3/5)(x - 2)

Finally, solve for y:

`y = (3)/(5)(x - 2) + 2`

`y = (3)/(5)x - (6)/(5) + 2`

`y = (3)/(5)x + (4)/(5)`