Question 765·Easy·Math

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

Which choice is the slope of the line?

For a graphed line, slope measures the change in $y$ for each unit increase in $x$ . Pick two exact grid intersections, then divide the change in $y$ by the matching change in $x$ . A line that falls as you move right has a negative slope. Divide the vertical change by the horizontal change; don’t report the whole drop.

Hints

Hint 1
A grid intersection is where a horizontal and a vertical grid line meet. Pick two that lie on the line so you can read both coordinates exactly from the axes.
Hint 2
Slope is the change in $y$ divided by the change in $x$ . Move from your left point to your right point. Does $y$ rise or fall, and how far does $x$ move?

Step-by-step

Read two points from the graph
Step 1
Choose exact points
No Desmos needed. Read two exact points from the graph. The line passes through $(0,3)$ and $(2,1)$ , both grid intersections. Use these points because their coordinates don’t need to be estimated.
Step 2
Find the slope
Slope is the change in $y$ divided by the change in $x$ . Keep the same point order in both changes:
$m=\frac{1-3}{2-0}$
Subtract:
$m=\frac{-2}{2}$
Divide:
$m=-1$
So the line’s slope is $-1$ : $y$ drops by $1$ for each $1$ -unit increase in $x$ . Choice B.

Lessons that teach this

SAT AlgebraBeginnerCoreFind slope and rate of change

Question 765·Easy·Math

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Hints

Step-by-step

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Strategy

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Step-by-step

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