Question

What is the slope of the line shown?

Answer 1

the slope is positive 9/7 bc you go up 9 from the first point and 7 to the right

Answer 2

Option (b) is correct.

The slope of line shown in given graph is
`(9)/(7)`

Explanation:

Given: A graph with an equation of line having two points (1,6) and (-6, -3)

We have to find the slope of the given line in graph and choose the correct from the given options.

Consider the two points (1,6) and (-6, -3).

Slope between two points can be calculated using the formula as,

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

Here,
`\left(x_1,\:y_1\right)=\left(1,\:6\right),\:\left(x_2,\:y_2\right)=\left(-6,\:-3\right)`

Thus, Slope is

`m=(-3-6)/(-6-1)=(9)/(7)`

Thus, The slope of line shown in given graph is
`(9)/(7)`