AlgebraEasyEvaluating a linear function from its slope and intercept
Algebra practice question
The graph of the linear function f in the xy-plane has a y-intercept of 4 and a slope of −2. What is the value of f(3)?
Answer: -2 or −2
A slope of −2 and y-intercept 4 give f(x) = −2x + 4. Then f(3) = −6 + 4 = −2.
Common wrong answers
- If you answered 2
- 2 is 4 − 2, subtracting the slope once instead of 3 times. f(3) = 4 − 2 × 3.
- If you answered 10
- 10 is 2(3) + 4, using a slope of +2. The slope is −2, so the function falls as x grows.
- If you answered -6
- −6 is −2 × 3 without the y-intercept. Add the 4: −6 + 4 = −2.
More Algebra questions
- Easy
If 3x + 7 = 22, what is the value of x? - Easy
If x/4 = 9, what is the value of x? - Easy
The function f is defined by f(x) = 6x − 5. What is the value of f(3)? - Easy
The perimeter P of a rectangle with length l and width w is given by P = 2l + 2w. Which of the following expre… - Easy
Which equation defines the function f? - Easy
In the xy-plane, the graph of the equation y = 4x − 12 crosses the x-axis at the point (a, 0). What is the val…
Not affiliated with the College Board. SAT is a trademark of the College Board.