Question

Find the slope of the line that passes through the points (0,-11) and (8,-8).

Answer 1

Explanation:

(x₁ ,y₁) = (0,-11) & (x₂ , y₂) = (8,-8)

Slope =
`(y_(2)-y_(1))/(x_(2)-x_(1))\\`

`=(-8-[-11])/(8-0)\\\\=(-8+11)/(8)\\\\=(3)/(8)`

Answer 2

To find the slope of a line, we can use the following formula:

`\displaystyle \large{m = (y_2 - y_1)/(x_2 - x_1) }`

m-term stands for slope or gradient. The formula is useful whenever you want to find a slope of two points.

Let these be the following:

`\displaystyle \large{(x_1,y_1) = (0, - 11)} \\ \displaystyle \large{(x_2,y_2) = (8, - 8)}`

Substitute the points in formula:

`\displaystyle \large{m = ( - 8 -( - 11))/( 8 - 0) }`

Negative multiply negative always come out as positive.

`\displaystyle \large{m = ( - 8 + 11)/( 8 - 0) } \\ \displaystyle \large{m = ( 3)/( 8 ) } \\`

Since m stands for slope, we can say that:

`\displaystyle \large \boxed{ \tt{slope = (3)/(8) }}`