AlgebraEasy–MediumPoint on a line given a point and a slope
Algebra practice question
In the xy-plane, a line has slope 3 and passes through the point (2, 5). Which of the following points also lies on the line?
- A. (4, 11)Correct
- B. (3, 7)
- C. (0, −2)
- D. (1, 3)
Answer: A. (4, 11)
From (2, 5), moving 2 units right raises y by 6: (4, 11).
Why the other answers are wrong
- B. (3, 7)
- (3, 7) rises only 2 for 1 unit right; the line reaches (3, 8).
- C. (0, −2)
- At x = 0 the line is at y = −1, not −2.
- D. (1, 3)
- At x = 1 the line is at y = 2, not 3.
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.