Question

What is the slope-intercept form of the function that contains the points (3, 1) and (2, 9)?
y=1/6x+0.5 is this right?

Answer 1

try replacing the points on the line equation to verify if the points are contained in the line.

Answer 2

slope = (y2 - y1) / (x2 - x1)
(3,1)...x1 = 3 and y1 = 1
(2,9)...x2 = 2 and y2 = 9
now sub
slope(m) = (9 - 1) / (2 - 3)
slope(m) = 8/-1 or just -8

now use y = mx + b form
slope(m) = -8
use either of your points...(3,1)...x = 3 and y = 1
now we sub and solve for b, the y intercept
y = mx + b
1 = -8(3) + b
1 = -24 + b
1 + 24 = b
25 = b

so your slope intercept line is : y = -8x + 25

check..
y = -8x + 25
(3,1)....x = 3 and y = 1
1 = -8(3) + 25
1 = -24 + 25
1 = 1 (correct)

Answer 3

any questions at all ?

Answer 4

so the answer is y=8x+25?

Answer 5

Thank you!

Answer 6

I'll save the example that you gave me to help me on other problems.