AlgebraVery hardSlope equal to the y-intercept
Algebra practice question
In the xy-plane, the line through (2, 3) and (6, k) has a slope equal to its y-intercept. What is the value of k?
Answer: 7
With slope m, the y-intercept is 3 − 2m. Setting m = 3 − 2m gives m = 1, so (k − 3)/4 = 1 and k = 7.
Common wrong answers
- If you answered 1
- 1 is the slope, not k.
- If you answered 3
- 3 would give slope 0 and y-intercept 3, which are not equal.
- If you answered 11
- 11 gives slope 2 but y-intercept −1.
More Algebra questions
- Very hard
For what value of c does the system 3x − 2y = 8 and 9x + cy = 5 have no solution? - Very hard
In the system 5x + 4y = 32 and 3x − 2y = 6, what is the value of 8x + 2y? - Very hard
The solution set of the inequality |ax − b| ≤ 6, where a and b are constants and a > 0, is 3 ≤ x ≤ 9. What is … - Very hard
The function f is linear, and for every value of x, f(x + 2) − f(x) = 6. If f(5) = 4, what is the value of f(0… - Very hard
In the system of equations 2x + 3y = 12 and 5x − 2y = k, where k is a constant, the solution (x, y) satisfies … - Very hard
In the xy-plane, the system of equations kx + 6y = 12 and 2x + (k − 1)y = 6, where k is a constant, has infini…
Not affiliated with the College Board. SAT is a trademark of the College Board.