Question

Carmen Martinez

What is the slope of the line that passes through the point 4,4 and 10,7 write your answer in simplest form

Answer 1

• (4,4)
• (10,7)

`\boxed{\sf Slope(m)=(y_2-y_1)/(x_2-x_1)}`

`\\ \sf\longmapsto m=(7-4)/(10-4)`

`\\ \sf\longmapsto m=(3)/(6)`

`\\ \sf\longmapsto m=(1)/(2)`

`\\ \sf\longmapsto m\approx0.5`

Answer 2

`m=(1)/(2)`

Explanation:

The slope of a line, also known as the change in the line or the (
`(rise)/(run)`) can be found using the following formula,

`m=(y_2-y_1)/(x_2-x_1)`

Where (
`x_1,y_1`) and (
`x_2,y_2`) are points on the line. Substitute the given information into the formula and solve for the slope.

`m=(y_2-y_1)/(x_2-x_1)`

Points on the line:
`(4,4)\ \ \ (10, 7)`

`m=(y_2-y_1)/(x_2-x_1)`

`m=(7-4)/(10-4)`

`m=(3)/(6)`

`m=(1)/(2)`

`m=0.5`