Question 257·Easy·Algebra

0 / 700

The graph of the function $y=f(x)$ is shown.

Which choice is the slope of the line?

For slope-from-a-graph questions, ignore where the line starts and just grab two clear lattice points (points on grid intersections). Compute $\Delta y/\Delta x$ and use the direction of the line (upward or downward as you go right) to confirm the sign.

Hints

Click me!

Use two easy points

Pick two points where the line clearly goes through grid intersections.

Remember the slope formula

Slope is $\frac{\text{change in }y}{\text{change in }x}$ .

Check the sign

As $x$ increases, see whether the line goes up or down to decide if the slope is positive or negative.

Desmos Guide

Plot two points from the graph

Enter the points from the graph, such as $A=(0,3)$ and $B=(2,1)$ .

Compute the slope using coordinates

In a new line, type (y(B)-y(A))/(x(B)-x(A)) and evaluate the result.

State the slope

The computed value is $-1$ , so the correct choice is $-1$ .

Step-by-step Explanation

Choose two points on the line

From the graph, the line passes through the points $(0,3)$ and $(2,1)$ .

Compute the slope

m=\frac{1-3}{2-0}=\frac{-2}{2}=-1

Therefore, the slope of the line is $-1$ .

Question 257·Easy·Algebra

Strategy

Hints

Desmos Guide

Step-by-step Explanation

Study Hints

Strategy

Hints

Desmos Guide

Step-by-step Explanation