Question

What is the slope of the line shown?

Answer 1

Answer:

Option (b) is correct.

The slope of line shown in given graph is $\frac{9}{7}$

Step-by-step 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,

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

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

Thus, Slope is

$m=\frac{-3-6}{-6-1}=\frac{9}{7}$

Thus, The slope of line shown in given graph is $\frac{9}{7}$

Answer 2

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