Question

Find the equation of the line with the coordinates of (-5,-2) and (5,3)​

Answer 1

x - 2y = -1.

Explanation:

Slope = (3 - (-2)) / (5 - (-5))

= 5/10

= 1/2

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

Here m = 1/2 and (x1, y1) = (5, 3):

y - 3 = 1/2(x - 5)

y - 3 = 1/2x - 5/2

y = 1/2x - 5/2 + 6/2

y = 1/2x + 1/2

Removing the fractions:

2y = x + 1

in standard form this is

x - 2y = -1