Question 79·Easy·Linear Equations in Two Variables
Line is shown in the -plane.
Which choice is the slope of line ?
For a line shown on a coordinate plane, pick two clear points on the line (labeled points are best) and compute slope with . Keep track of the sign by noticing whether the line rises (positive) or falls (negative) as you move from left to right.
Hints
Pick two clear points
Use the two labeled points on line so you can read their coordinates exactly.
Use the slope formula
Compute slope with using the two points you chose.
Check the sign
As you move from left to right along the line, does increase or decrease? That tells you whether the slope is positive or negative.
Desmos Guide
Plot the two given points
In Desmos, enter the points and .
Compute slope with a formula
Use an expression for slope:
Substitute for and for .
Read the slope value
Simplify the result to get the slope of line , which matches one of the answer choices.
Step-by-step Explanation
Read two points from the graph
From the graph, line passes through points and .
Compute the slope
Compute slope using :
So, the slope of line is .