Question: Homework 3.5: Graphs Using Slope-Intercept Form
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Question 1
Give the slope and the y-intercept of the line $y = 10x - 9$.
Make sure the y-intercept is written as a coordinate.
Slope =
y-intercept =
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Graph/Math shape: linear equation in slope-intercept form $y = 10x - 9$; position_hint = center
1. **State the problem:** We need to find the slope and the y-intercept of the line given by the equation $$y = 10x - 9$$.
2. **Recall the slope-intercept form:** The slope-intercept form of a line is $$y = mx + b$$ where:
- $$m$$ is the slope of the line.
- $$b$$ is the y-intercept (the point where the line crosses the y-axis).
3. **Identify the slope:** Comparing $$y = 10x - 9$$ with $$y = mx + b$$, we see that $$m = 10$$.
4. **Identify the y-intercept:** The y-intercept $$b = -9$$.
5. **Write the y-intercept as a coordinate:** The y-intercept occurs when $$x = 0$$, so the coordinate is $$(0, -9)$$.
**Final answers:**
- Slope = $$10$$
- Y-intercept = $$(0, -9)$$