Question 393·Easy·Algebra

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Line $m$ is shown in the $xy$ -plane.

Which choice is the slope of line $m$ ?

A line through two readable points calls for its slope: change in $y$ divided by change in $x$ . Read the points from the axes, then subtract their coordinates in the same order on top and bottom. A line that falls as you move right has a negative slope, so a positive result signals a sign slip.

Hints

Hint 1
Coordinates come in $(x,y)$ order: the horizontal reading comes first, and the vertical reading comes second. For each marked dot, trace to the axes instead of guessing where the line crosses an axis.
Hint 2
A slope compares the change in $y$ with the change in $x$ . Take both changes from A to B so the top and bottom of your fraction use the same point order.

Step-by-step

Find slope from the marked points
Step 1
Read the two points
Each grid interval is one unit. Reading horizontal position first and vertical position second gives $A=(-2,5)$ and $B=(2,-3)$ .
Step 2
Set up the slope
The slope is vertical change over horizontal change. Subtract $A$ from $B$ in both coordinates. Write the relationship:
$s=\frac{y_B-y_A}{x_B-x_A}.$
Substitute the marked coordinates:
$s=\frac{-3-5}{2-(-2)}.$
Keep the $y$ change on top; reversing the fraction gives a different rate.
Step 3
Evaluate and check the sign
Type $\frac{-3-5}{2-(-2)}$ into Desmos. It shows $-2$ . That sign fits the graph: the line falls as you move right. The slope of line $m$ is $-2$ . Choice A.

Lessons that teach this

SAT AlgebraBeginnerCoreFind slope and rate of change

Question 393·Easy·Algebra

Strategy

Hints

Step-by-step

Lessons that teach this

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Strategy

Hints

Step-by-step

Lessons that teach this