Question

What is the y intercept of tthe line that passes through (3, 5) and (6, 3)

Answer 1

(0,7)

Explanation:

`y=mx+b` is the slope intercept form where m=slope and b is y intercept

so to find b we must find m

To find the slope we use the formula
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

`(3-5)/(6-3) \\(-2)/(3) \\-(2)/(3)`

Now we know the slope we can place it in the equation

`y=-(2)/(3) x+b`

Now we enter one of the coordinates to find b and I will use (3,5)

`5=-(2)/(3) (3)+b\\5= -2+b`

Add 2 to both sides

`7=b`

7 or (0,7) is the y intercept

Hope this helps please let me know if have any other questions