Math Problem Statement
Write the equation of the line with slope m = 7 and y-intercept b = -2.
Solution
The equation of a line in slope-intercept form is written as:
where:
- is the slope, and
- is the y-intercept.
In the image, the given values are:
Therefore, the equation of the line is:
Would you like any further details on this, or do you have any questions?
Here are 5 related questions:
- How do you determine the slope of a line from two points?
- What is the meaning of the y-intercept in a real-world scenario?
- How do parallel lines relate in terms of their slopes?
- How can you convert an equation from slope-intercept form to standard form?
- What is the equation of a line with the same slope but passing through a different point?
Tip: When writing an equation of a line, always double-check the signs of the slope and the y-intercept to avoid small errors.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 8-10