Question 52·Easy·Linear Functions
The graph of the function 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 and use the direction of the line (upward or downward as you go right) to confirm the sign.
Hints
Use two easy points
Pick two points where the line clearly goes through grid intersections.
Remember the slope formula
Slope is .
Check the sign
As 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 and .
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 , so the correct choice is .
Step-by-step Explanation
Choose two points on the line
From the graph, the line passes through the points and .
Compute the slope
Therefore, the slope of the line is .