Question

Please Help me I cant figure it out

Answer 1

Answer: The slope m =
`-(3)/(5)`. The y-intercept b = 15. The equation in slope-int form:
`y=-(3)/(5)x+15`

Explanation:

Points are in the form (x, y). The subscripts 2 and 1 in the slope equation are used to denote that the values come from different points.
`(x_1, y_1)` is (10,9), and
`(x_2, y_2)` is (5,12).

Substitute these x and y values into the formula:
`m=(y_2-y_1)/(x_2-x_1)`

`m=(12-9)/(5-10)`

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

This fraction cannot be simplified further. The slope is
`-(3)/(5)`.

To find the y-intercept, b, substitute the x and y values from one of the points, and the slope value, m, that was just calculated.

`y=mx+b`

`9=-(3)/(5)(10)+b`

`-6+b=9`

`b=15`

The y-intercept b = 15. The slope m =
`-(3)/(5)`.

The equation in slope-int form:
`y=-(3)/(5)x+15`