King Johnston
02/24/2024 · Junior High School
Use the point-slope form to write an equation of the line with the given slope and point. Then write the equation in slope-intercept form.
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Step-by-step Solution
To write the equation of a line in point-slope form, we use the formula:
\[ y - y_1 = m(x - x_1) \]
where:
- \( m \) is the slope of the line,
- \( (x_1, y_1) \) is a point on the line.
Given that the slope is \( m \) and the point is \( (x_1, y_1) \), we can substitute these values into the point-slope form to find the equation of the line.
Once we have the equation in point-slope form, we can convert it to slope-intercept form, which is in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
Let's denote the slope as \( m \) and the point as \( (x_1, y_1) \). We will substitute these values into the point-slope form to find the equation of the line.
Quick Answer
Use the formula \( y - y_1 = m(x - x_1) \) to find the point-slope form, then convert it to \( y = mx + b \) for slope-intercept form.
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