Question

Find the slope of the line that passes through the points (9, -2) and (4, 3)

Answer 1

-1

Explanation:

Formula:
`y=mx+b`

Using two points:

Since we are given the
`y` and
`x` value, what is left is the
`m` and
`b` in the formula, which represent slope and the y-intercept.

Slope

`m` is slope

Formula:
`(y_2-y_1)/(x_2-x_1)`

Plug points:
`(3-(-2))/(4-9)`

Solve:
`(5)/(-5)`

Simplify:
`\bold{m=-1}`

Therefore, the slope is -1

Learn more:

y-intercept

`b` is the y-intercept

Plug one of the points and the slope into the formula, solve for b: (4, 3)

`3=-1(4)+b`

`3=-4+b`

`3+4=-4+b+4`

`\bold{b=7}`