Question

What is an equation of the line that passes through the points

(
−
5
,
3
)
(−5,3) and
(
5
,
5
)
(5,5)

Answer 1

x -5y = -20

Explanation:

One way to write the equation for a line through two points is to use the slope formula. The slope is the same everywhere on a line, so the slope between the given points is the same as the slope between one of them and the general (x, y) point.

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

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

2/10 = (y -3)/(x +5)

x +5 = 5(y -3) . . . . . . . multiply by 5(x+5)

x -5y = -20 . . . . . . rearranged to standard form