Math Problem Statement
Use point-slope form to write the equation of a line that passes through the point left parenthesis, 6, comma, 7, right parenthesis(6,7) with slope minus, 3−3.
Solution
The point-slope form of a line is given by the formula:
where:
- is a point on the line,
- is the slope of the line.
Given:
- Point: ,
- Slope: ,
we substitute these values into the formula:
This is the equation of the line in point-slope form.
If you'd like, we can expand it to the slope-intercept form ().
Do you want further details or have any questions?
Here are 5 related questions:
- How can we convert this equation into slope-intercept form?
- What is the slope-intercept form of a line, and how does it relate to point-slope form?
- How do we graph the line using the point and the slope ?
- How do we find the x-intercept and y-intercept from this equation?
- Can we use a different point on the line to write the equation again in point-slope form?
Tip: The point-slope form is especially useful when you know the slope and one point on the line, as it avoids having to find the y-intercept directly.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Point-Slope Form
Formulas
Point-slope form: y - y1 = m(x - x1)
Theorems
-
Suitable Grade Level
Grades 8-10
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