Nunez Kelley
07/07/2024 · Elementary School
Use either the slope-intercept form (from section 3.5) or the point-slope form (from Section 3.0 ) to find the equation of the line, Write the result in slope-intercupt form, if possibie. (if slope intercept form is not possible, enter the equation in any correct form.)
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To find the equation of a line, we can use either the slope-intercept form or the point-slope form. Let's go through the steps for each form.
### Slope-Intercept Form
The slope-intercept form of a linear equation is given by:
\[ y = mx + b \]
where \( m \) is the slope of the line and \( b \) is the y-intercept.
### Point-Slope Form
The point-slope form of a linear equation is given by:
\[ y - y_1 = m(x - x_1) \]
where \( m \) is the slope of the line and \( (x_1, y_1) \) is a point on the line.
To solve the problem, we need the slope \( m \) and a point \( (x_1, y_1) \) on the line. If you provide these, I can help you find the equation of the line.
For example, if you have:
- The slope \( m = 2 \)
- A point \( (x_1, y_1) = (1, 3) \)
You can use the point-slope form to find the equation:
\[ y - 3 = 2(x - 1) \]
Then, you can simplify this to the slope-intercept form if possible. If you provide the slope and a point, I can walk you through the process.
Quick Answer
To find the equation of a line, you need the slope \( m \) and a point \( (x_1, y_1) \). Use the point-slope form \( y - y_1 = m(x - x_1) \) to start, then simplify to the slope-intercept form \( y = mx + b \) if possible.
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