Math Problem Statement
Find the slope and y-intercept of the given line, and graph it: y = 8x - 9
Solution
The problem in the image is asking to find the slope and y-intercept of the equation:
This equation is in slope-intercept form, , where:
- is the slope.
- is the y-intercept.
From the given equation:
- The slope .
- The y-intercept , which means the line crosses the y-axis at .
So:
- The slope is 8.
- The y-intercept is -9.
Would you like a more detailed explanation or further help with graphing this?
5 Related Questions:
- What is the significance of the slope in a linear equation?
- How can you find the x-intercept of this line?
- How would the graph look if the slope was negative?
- Can you rewrite this equation in point-slope form?
- What happens to the graph if the y-intercept changes?
Tip:
To graph the line, start at the y-intercept , and use the slope to rise 8 units up for every 1 unit you move to the right.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope-intercept form: y = mx + b
Theorems
Slope-intercept form
Suitable Grade Level
Grades 7-10