Question

Write an equation in slope-intercept form for the line that passes through (1,9) and (3,5).

Answer 1

Answer: y=-2x+11

Find the slope by: y1-y2/x1-x2

Plug in the number so
9-5/1-3 = 4/-2 =-2

So the slope is -2
Y=-2x+b
9=-2(1) +b
9=-2+b
b=11

Answer:Y=-2x+11

Answer 2

The answer to your question is y = -2x + 11

Explanation:

A (1, 9)

B (3, 5)

- Find the slope

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

`m = (5 - 9)/(3 - 1)`

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

m = - 2

- Find the line equation

y - y1 = m (x - x1)

y - 5 = -2(x - 3)

y - 5 = -2x + 6

y = -2x + 6 + 5

y = -2x + 11