Question

Equation of a line that goes through (3,5) (5,2)

Answer 1

2y = –3x +19

y = –3x/2 + 19/2

Explanation:

x1 = 3, y1 = 5, x2 = 5, y2 = 2

Let's find the slope

slope(m) = y2 – y1 ÷ x2 – x1

m = 2 – 5/ 5–3

m = –3/2

using (3,5)

y – y1 = m( x – x1)

y – 5 = –3/2(x – 3)

y – 5 = –3x/2 + 9/2

multiply both sides by 2

2y – 10 = –3x + 9

2y = –3x + 9 + 10

2y = –3x +19

y = –3x/2 + 19/2

i hoped i helped