Free Digital SAT Practice Test 1 | Math Module 1 | Question 14

Math Module 1 Question 14

At how many points do the graphs of the equations

y = x + 4

and

y = x - 1

intersect in the

x y

-plane?

0
1
2
They overlap

Answer:

Explanation

The correct answer is Choice A.

Since the two given equations are both linear, they can cross at a point, overlap entirely, or simply be parallel and never intersect each other.

Alternatively, Substitute $y$ from the first equation into the second equation to calculate the intersection points of the two equations which will give the number of intersections.

Choices B, C, and D are incorrect since there are no intersections.

✨ Expert's Tip ✨

An alternate method is to plot both equations on a graph and find the number of intersection points.