Question

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

Answer 1

`(1)/(4)`

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:

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

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

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

Hence the slope of the line is
`(1)/(4)`

Answer 2

Answer: the second option is the correct answer

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