AlgebraEasy–MediumIntersection of two lines
Algebra practice question
In the xy-plane, at which point do the graphs of y = x + 1 and y = 2x − 1 intersect?
- A. (2, 3)Correct
- B. (3, 2)
- C. (1, 2)
- D. (0, 1)
Answer: A. (2, 3)
x + 1 = 2x − 1 gives x = 2, and then y = 3.
Why the other answers are wrong
- B. (3, 2)
- The coordinates are swapped.
- C. (1, 2)
- (1, 2) is on the first line only.
- D. (0, 1)
- (0, 1) is on the first line only.
More Algebra questions
- Easy–Medium
A line passes through the points (0, 3) and (2, 7). What is the slope of the line? - Easy–Medium
A gym charges a $25 one-time signup fee plus $15 per month. Which equation gives the total cost C, in dollars,… - Easy–Medium
If 5(x − 2) = 3x + 4, what is the value of x? - Easy–Medium
A taxi charges a $3.50 base fare plus $2.25 per mile. If a ride costs $19.25 total, how many miles was the rid… - Easy–Medium
The equation of a line is 3x + 2y = 12. What is the y-coordinate of the point where the line crosses the y-axi… - Easy–Medium
A line in the xy-plane passes through the points (1, 5) and (4, 11). What is the y-intercept of the line?
Not affiliated with the College Board. SAT is a trademark of the College Board.