Question

What is the slope of the line graphed below? Pls help answer keys included :)

Answer 1

SLOPE

`__________________________`

Slope is the gradient of a line, it is denoted by the variable m.

Given:

`\sf (\stackrel{x_1}{0}, \stackrel{y_1}{ - 6}) \: and \: (\stackrel{x_2}{3}, \stackrel{y_2}{3})`

Answer & Solution:

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

`\sf m = (3 \: - \: ( - 6))/(3 \: - \: 0)`

`\sf m = (9)/(3 )`

`\sf m = 3`

∴ The slope is D.) 3.

Answer 2

D

Explanation:

calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (3, 3) ← 2 points on the line

substitute these values into the formula for m

m =
`(3-(-6))/(3-0)` =
`(3+6)/(3)` =
`(9)/(3)` = 3