Math Problem Statement
Find the slope and the y-intercept of the line: y = 7x - 6
Solution
The equation given is . This is in the slope-intercept form, which is:
Here:
- represents the slope of the line.
- represents the y-intercept.
From the equation :
- The slope is .
- The y-intercept is .
So, the slope of the line is 7, and the y-intercept is -6.
Would you like more details or have any questions?
Here are some related questions you might find useful:
- How do you graph the line given by the equation ?
- What does the slope of 7 indicate about the steepness of the line?
- How would the equation change if the slope were negative?
- What would the graph look like if the y-intercept were 0?
- How do you find the x-intercept of this line?
Tip: When identifying the slope and y-intercept from an equation, always ensure it is in the form to easily pick out the values of and .
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 7-9