Question

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

Answer 1

Answer:

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

Step-by-step explanation:

A (1, 9)

B (3, 5)

- Find the slope

 $m = \frac{y2 - y1}{x2 - x1}$

 $m = \frac{5 - 9}{3 - 1}$

 $m = \frac{-4}{2}$

        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

Answer 2

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