Question

What is the slope of this line?

2

12

−12

−2
The figure shows a graph of a line in a coordinate plane. The line slants down and to the right passing through the points begin ordered pair negative 3 comma 3 end ordered pair and begin ordered pair 1 comma negative 5 end ordered pair.

Answer 1

Answer:

Slope = -2

Step-by-step explanation:

Given:

The points on the line are given as:

$(x_1,y_1)=(-3,3)\\\\(x_2,y_2)=(1,-5)$

The slope of a line passing through points is given as:

$m=\frac{y_2-y_1}{x_2-x_1}$

Plug in the given values and solve for slope, 'm'. This gives,

$m=\frac{-5-3}{1-(-3)}\\\\m=\frac{-8}{1+3}\\\\m=\frac{-8}{4}\\\\m=-2$

Therefore, the slope of the line given in the graph is -2. So, the last option is correct.