Q. What is the slope of the line perpendicular to the line 7x - 2y = 14?
-
A.
1/7
-
B.
-1/7
-
C.
2/7
-
D.
-2/7
Solution
The slope of the line is 7/2. The slope of the perpendicular line is the negative reciprocal, which is -2/7.
Correct Answer: B — -1/7
Learn More →
Q. What is the slope of the line perpendicular to the line with slope 3?
-
A.
-1/3
-
B.
1/3
-
C.
3
-
D.
-3
Solution
Slope of perpendicular line = -1/m = -1/3.
Correct Answer: A — -1/3
Learn More →
Q. What is the slope of the line perpendicular to the line y = -2x + 3?
-
A.
-1/2
-
B.
1/2
-
C.
2
-
D.
-2
Solution
The slope of the given line is -2. The slope of the perpendicular line is the negative reciprocal, which is 1/2.
Correct Answer: B — 1/2
Learn More →
Q. What is the slope of the line perpendicular to the line y = -2x + 4?
-
A.
0.5
-
B.
2
-
C.
-0.5
-
D.
-2
Solution
The slope of the given line is -2. The slope of the perpendicular line is the negative reciprocal, which is 1/2.
Correct Answer: B — 2
Learn More →
Q. What is the slope of the line perpendicular to the line y = -3x + 4?
-
A.
1/3
-
B.
-1/3
-
C.
3
-
D.
-3
Solution
The slope of the given line is -3. The slope of the perpendicular line is the negative reciprocal: 1/3.
Correct Answer: C — 3
Learn More →
Q. What is the slope of the line perpendicular to the line y = 3x + 1? (2023)
-
A.
-1/3
-
B.
1/3
-
C.
3
-
D.
-3
Solution
Slope of perpendicular line = -1/(slope of original line) = -1/3.
Correct Answer: A — -1/3
Learn More →
Q. What is the slope of the line represented by the equation 2x - 3y + 6 = 0?
-
A.
2/3
-
B.
3/2
-
C.
-2/3
-
D.
-3/2
Solution
Rearranging gives y = (2/3)x + 2, slope = 2/3.
Correct Answer: C — -2/3
Learn More →
Q. What is the slope of the line represented by the equation 3x - 4y + 12 = 0?
-
A.
3/4
-
B.
4/3
-
C.
-3/4
-
D.
-4/3
Solution
Rearranging gives y = (3/4)x + 3. Slope = 3/4.
Correct Answer: C — -3/4
Learn More →
Q. What is the slope of the line represented by the equation 4x - 2y + 8 = 0? (2021)
Solution
Rearranging gives y = 2x + 4, so slope = 2.
Correct Answer: C — -2
Learn More →
Q. What is the slope of the line represented by the equation 5y - 10x = 20?
Solution
Rearranging to slope-intercept form: 5y = 10x + 20 => y = 2x + 4. The slope is 2.
Correct Answer: C — 0.5
Learn More →
Q. What is the slope of the line represented by the equation y = 2x + 3?
Solution
The slope of the line in the equation y = mx + b is m, which is 2.
Correct Answer: B — 2
Learn More →
Q. What is the slope of the line represented by the equation y = 3x + 2? (2021)
Solution
In the equation y = mx + b, m is the slope. Here, m = 3.
Correct Answer: A — 3
Learn More →
Q. What is the slope of the line that passes through the points (0, 0) and (4, 8)?
Solution
The slope m = (8 - 0) / (4 - 0) = 2.
Correct Answer: C — 2
Learn More →
Q. What is the slope of the line that passes through the points (4, 5) and (6, 9)?
Solution
The slope m = (9 - 5) / (6 - 4) = 4/2 = 2.
Correct Answer: A — 2
Learn More →
Q. What is the slope of the lines represented by the equation 5x^2 - 10xy + 5y^2 = 0?
Solution
The equation can be factored to find the slopes, which are both 1.
Correct Answer: A — 1
Learn More →
Q. What is the slope of the lines represented by the equation x^2 - 6xy + 9y^2 = 0?
Solution
Factoring gives (x - 3y)^2 = 0, indicating a double root, hence the slope is 3.
Correct Answer: A — 3
Learn More →
Q. What is the slope of the tangent line to f(x) = x^2 + 2x at x = 1? (2023)
Solution
f'(x) = 2x + 2. At x = 1, f'(1) = 2(1) + 2 = 4.
Correct Answer: B — 3
Learn More →
Q. What is the slope of the tangent line to the curve y = x^2 + 2x at the point (1, 3)?
Solution
The derivative y' = 2x + 2. At x = 1, y' = 2(1) + 2 = 4, which is the slope of the tangent line.
Correct Answer: B — 2
Learn More →
Q. What is the slope of the tangent line to the curve y = x^2 + 2x at x = 1?
Solution
The derivative y' = 2x + 2. At x = 1, y' = 2(1) + 2 = 4.
Correct Answer: A — 3
Learn More →
Q. What is the slope of the tangent line to the curve y = x^2 - 4x + 5 at x = 3? (2023)
Solution
The slope is given by f'(x) = 2x - 4. At x = 3, f'(3) = 2(3) - 4 = 2.
Correct Answer: C — 2
Learn More →
Q. What is the slope of the tangent line to the curve y = x^2 at the point (1,1)? (2023)
Solution
The derivative y' = 2x; At x = 1, slope = 2(1) = 2.
Correct Answer: B — 2
Learn More →
Q. What is the slope of the tangent line to the curve y = x^2 at the point (2, 4)?
Solution
The derivative y' = 2x. At x = 2, the slope is y'(2) = 2(2) = 4.
Correct Answer: A — 2
Learn More →
Q. What is the slope of the tangent line to the curve y = x^2 at the point (3, 9)? (2020)
Solution
The derivative y' = 2x. At x = 3, y' = 2(3) = 6.
Correct Answer: B — 6
Learn More →
Q. What is the slope of the tangent to the curve y = x^2 + 2x at x = 1? (2023)
Solution
f'(x) = 2x + 2. At x = 1, f'(1) = 2(1) + 2 = 4.
Correct Answer: B — 3
Learn More →
Q. What is the smallest 3-digit number that is divisible by 9?
-
A.
108
-
B.
90
-
C.
99
-
D.
100
Solution
The smallest 3-digit number is 100. The first number greater than or equal to 100 that is divisible by 9 is 108.
Correct Answer: A — 108
Learn More →
Q. What is the smallest country in the world? (2021)
-
A.
Monaco
-
B.
Nauru
-
C.
Vatican City
-
D.
San Marino
Solution
Vatican City is the smallest country in the world.
Correct Answer: C — Vatican City
Learn More →
Q. What is the smallest multiple of 9 that is greater than 50?
Solution
The smallest multiple of 9 greater than 50 is 54.
Correct Answer: A — 54
Learn More →
Q. What is the solution for the inequality 4 - x < 2?
-
A.
x > 2
-
B.
x < 2
-
C.
x > 4
-
D.
x < 4
Solution
4 - x < 2 => -x < -2 => x > 2.
Correct Answer: D — x < 4
Learn More →
Q. What is the solution for the inequality 4x + 1 < 3x + 5?
-
A.
x < 4
-
B.
x > 4
-
C.
x < 3
-
D.
x > 3
Solution
4x + 1 < 3x + 5 => x < 4.
Correct Answer: A — x < 4
Learn More →
Q. What is the solution for the inequality 4x - 1 < 3x + 2?
-
A.
x < 3
-
B.
x > 3
-
C.
x < 1
-
D.
x > 1
Solution
4x - 1 < 3x + 2 => x < 3.
Correct Answer: A — x < 3
Learn More →
Showing 16741 to 16770 of 22808 (761 Pages)