Question 100·Easy·Linear Equations in Two Variables
Which choice is an equation of the line shown in the -plane?
For an easy graph-to-equation problem, use and read directly from where the line crosses the -axis. Then select the answer choice with that constant term.
Hints
Find where the line crosses the y-axis
Locate the point where the line crosses the -axis. That point has .
Use slope-intercept form
In , the value of is the -intercept.
Match the constant term
Pick the option whose constant term equals the -intercept you read from the graph.
Desmos Guide
Plot the y-intercept
Plot the point where the line crosses the -axis, .
Check each equation’s intercept
Enter each answer choice in Desmos and see which line passes through .
Select the matching equation
Choose the equation whose graph crosses the -axis at .
Step-by-step Explanation
Read the y-intercept
From the graph, the line crosses the -axis at , so in slope-intercept form , we have .
Choose the equation with
The only choice with constant term is .