Question

algebra i with probability young ic qtr a continuous learning center - credit bearing (tutor) slope of a line identifying different slopes consider the line that passes through each pair of given points, and decide what type of slope the line has. positive slope negative slope undefined slope zero slope (3, 5) and (-1, 2) (2, 4) and (5, 1) (-7, 8) and (-7, 0) (6, -3) and (-4, -3)

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Calculate slope for $(3,5)$ and $(-1,2)$

$m=\frac{2 - 5}{-1 - 3}=\frac{-3}{-4}=\frac{3}{4}$, so it has a positive slope.

Step3: Calculate slope for $(2,4)$ and $(5,1)$

$m=\frac{1 - 4}{5 - 2}=\frac{-3}{3}=-1$, so it has a negative slope.

Step4: Calculate slope for $(-7,8)$ and $(-7,0)$

$m=\frac{0 - 8}{-7-(-7)}=\frac{-8}{0}$, which is undefined, so it has an undefined slope.

Step5: Calculate slope for $(6,-3)$ and $(-4,-3)$

$m=\frac{-3-(-3)}{-4 - 6}=\frac{0}{-10}=0$, so it has a zero slope.

Answer:

$(3,5)$ and $(-1,2)$: positive slope
$(2,4)$ and $(5,1)$: negative slope
$(-7,8)$ and $(-7,0)$: undefined slope
$(6,-3)$ and $(-4,-3)$: zero slope