Detailed
Answers to Initial Practice: The Slope and
y-intercept in the Equation of a Line
What are the slopes and y-intercepts
of the following equations?
The equation of a straight line has the form:
| 1. y = 2/3 x + 6 | Slope = 2/3 | y-intercept = 6 |
| In this question, the constant that multiplies the x variable is 2/3, therefore this is the slope. The constant that you get when x = 0 is 6, therefore the y-intercept is 6. | ||
| 2. y = 25 + 10 x | Slope = 10 | y-intercept = 25 |
| In this question, the constant that multiplies the x variable is 10, therefore this is the slope. The constant that you get when x = 0 is 25, therefore the y-intercept is 25. | ||
| 3. y = 2 - 5 x | Slope = -5 | y-intercept = 2 |
| In this question, the constant that multiplies the x variable is 5, therefore this is the slope. The constant that you get when x = 0 is 2, therefore the y-intercept is 2. | ||
| 4. y = 3 x | Slope = 3 | y-intercept = 0 |
| In this question, the constant that multiplies the x variable is 3, therefore this is the slope. The constant that you get when x = 0 is 0, therefore the y-intercept is 0. | ||
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