AlgebraEasy–MediumEquation from slope and y-intercept
Algebra practice question
Which equation represents the line in the xy-plane with slope 4 and y-intercept −7?
- A. y = 4x − 7Correct
- B. y = −7x + 4
- C. y = 4x + 7
- D. y = −4x − 7
Answer: A. y = 4x − 7
In y = mx + b, m is the slope and b is the y-intercept. With m = 4 and b = −7: y = 4x − 7.
Why the other answers are wrong
- B. y = −7x + 4
- This swaps the slope and the y-intercept.
- C. y = 4x + 7
- The y-intercept is −7, so the constant is −7, not +7.
- D. y = −4x − 7
- The slope is 4, not −4.
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.