Question

Which of the following is the slope of the line? Help ASAP PLZ

Answer 1

Answer:

$\frac{1}{4}$

Step-by-step explanation:

To find the slope of a line we need two points through which it is passing.

From the figure, we can see that the line passes through (0,-2) and (4,-1).

Slope of a line passing through two points $(x_{1},y_{1})\ and\ (x_{2},y_{2})$ is given by the formula:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Here x1=0 y1=-2 x2=4 y2=-1

Slope = $\frac{-1-(-2)}{4-0}=\frac{1}{4}$

Hence the slope of the line is $\frac{1}{4}$

Answer 2

Answer: the second option is the correct answer

Step-by-step explanation:

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the information on the graph y2 = - 1

y1 = - 2

x2 = 4

x1 = 0

Slope = ( - 2 - - 1)/(4 - 0) = - 1/4