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Slope Quiz

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SAT Math: Slope Quiz

📈 SAT Math: Slope Quiz

Test your knowledge of linear graph slopes

Question 1 of 6
What is the slope formula for a line passing through points (x₁, y₁) and (x₂, y₂)?
A) m = (x₂ - x₁) / (y₂ - y₁)
B) m = (y₂ - y₁) / (x₂ - x₁)
C) m = (y₁ - y₂) / (x₁ - x₂)
D) m = (x₁ + x₂) / (y₁ + y₂)

💡 Explanation:

The slope formula is m = (y₂ - y₁) / (x₂ - x₁). This represents "rise over run" - the change in y-coordinates divided by the change in x-coordinates.

Question 2 of 6
Find the slope of the line passing through points (2, 5) and (6, 13).
A) 2
B) 4
C) 1/2
D) 8

💡 Explanation:

Using the slope formula: m = (13 - 5) / (6 - 2) = 8 / 4 = 2. The slope is 2, meaning the line rises 2 units for every 1 unit it moves to the right.

Question 3 of 6
A line has a slope of -3. This means the line is:
A) Rising from left to right
B) Falling from left to right
C) Horizontal
D) Vertical

💡 Explanation:

A negative slope means the line is falling from left to right. For every 1 unit the line moves right, it drops 3 units down.

Question 4 of 6
What is the slope of a horizontal line?
A) 1
B) 0
C) -1
D) Undefined

💡 Explanation:

A horizontal line has zero slope because there's no change in y-coordinates (rise = 0). The formula gives us 0 / (change in x) = 0.

Question 5 of 6
What is the slope of a vertical line?
A) 0
B) 1
C) ∞ (infinity)
D) Undefined

💡 Explanation:

A vertical line has undefined slope because there's no change in x-coordinates (run = 0). Division by zero is undefined in mathematics.

Question 6 of 6
Find the slope of the line passing through points (-1, 4) and (-1, 9).
A) 5
B) 0
C) 1
D) Undefined

💡 Explanation:

Both points have the same x-coordinate (-1), making this a vertical line. The slope is undefined because we'd be dividing by zero: (9-4)/(-1-(-1)) = 5/0.

0/6

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