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Questions and Answers
What is the slope of the line that passes through the points (0, 5) and (2, 8)?
What is the slope of the line that passes through the points (0, 5) and (2, 8)?
- 1
- 3
- 1.5 (correct)
- 2
What is the y-intercept of the line represented by the equation y = 1.5x + 5?
What is the y-intercept of the line represented by the equation y = 1.5x + 5?
- 5 (correct)
- 1.5
- 8
- 2.5
Which formula is used to calculate the slope of a line?
Which formula is used to calculate the slope of a line?
- m = (y₂ - y₁) / (x₂ - x₁) (correct)
- m = (y₁ - y₂) / (x₁ - x₂)
- y = mx + b
- m = (x₂ - x₁) / (y₂ - y₁)
What would the equation of the line be if the slope were 3 and the y-intercept remained 5?
What would the equation of the line be if the slope were 3 and the y-intercept remained 5?
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If a line has a slope of 1.5, what can be inferred about the relationship between x and y?
If a line has a slope of 1.5, what can be inferred about the relationship between x and y?
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Study Notes
Finding the Equation of a Line
- The equation of a straight line is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.
- The slope (m) of a line is calculated as the change in y divided by the change in x between two points on the line.
- The y-intercept (b) is the point where the line crosses the y-axis.
- In the given example, the line passes through the points (0, 5) and (2, 8).
- Using the formula for slope, m = (8 - 5) / (2 - 0) = 1.5.
- The y-intercept is 5, as observed from the graph.
- Therefore, the equation of the line is y = 1.5x + 5.
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