Question

Consider the line that passes through each pair of given points, and decide what type of slope the line has.(-7,8) and (-7,0) Zero slope(6,-3) and (-4,-3) Positive slope(2,4) and (5,1) negative slope(3,5) and (-1,2) undefined slope

Answer 1

For each of the pairs of points, we calculate the slope.

`\text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}}`

(a)(-7,8) and (-7,0)

The slope of the line joining the points (-7,8) and (-7,0) is undefined.

(b)(6,-3) and (-4,-3)

`\begin{gathered} \text{Slope}=(-3-(-3))/(6-(-4)) \\ =(0)/(10) \\ =0 \end{gathered}`

The slope of the line joining the points (6,-3) and (-4,-3) is zero.

(c)(2,4) and (5,1)

`\begin{gathered} \text{Slope}=(2-5)/(4-1) \\ =(-3)/(3) \\ =-1 \end{gathered}`

The slope of the line joining the points (2,4) and (5,1) is negative.

(d)(3,5) and (-1,2)

`\begin{gathered} \text{Slope}=(3-(-1))/(5-2) \\ =(4)/(3) \end{gathered}`

The slope of the line joining the points (3,5) and (-1,2)) is positive.