Elena and her husband Marc both drive to work. Elena's car has a current mileage (total distance driven) of 7,000 and she drives 21,000 miles more each year. Marc's car has a current mileage of 20,000 and he drives 11,000 miles more each year. Will the mileages for the two cars ever be equal? Explain.
Yes; The equations have different y-intercepts, so the lines intersect.
No; The equations have different slopes, so the lines do not intersect.
No; The equations have equal slopes but different y-intercepts, so the lines do not intersect.
Yes;The equations have different slopes,line inter

Question

Elena and her husband Marc both drive to work. Elena's car has a current mileage (total distance driven) of 7,000 and she drives 21,000 miles more each year. Marc's car has a current mileage of 20,000 and he drives 11,000 miles more each year. Will the mileages for the two cars ever be equal? Explain.
	Yes; The equations have different y-intercepts, so the lines intersect.
	No; The equations have different slopes, so the lines do not intersect.
	No; The equations have equal slopes but different y-intercepts, so the lines do not intersect.
	Yes;The equations have different slopes,line inter

mackenzie2013 · Answer

intercepts

mathstudent55 · Answer

The slope of a line is a measure of its inclination.
If two differerent lines have the the same slope, they are parallel and never intersect.

mathstudent55 · Answer

In this problem, the mileages the cars already have are the y-intercepts.
The miles driven each year are the slopes.