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Use point-slope form to write the equation of a line that passes through the point left parenthesis, 13, comma, 5, right parenthesis(13,5) with slope 11.
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Watch Video
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Use point-slope form to write the equation of a line that passes through the point left parenthesis, 13, comma, 5, right parenthesis(13,5) with slope 11.
Answer
Attempt 1 out of 2
Answers
GPT-4o mini
To write the equation of a line in point-slope form, we can use the formula:
\[
y - y_1 = m(x - x_1)
\]
where \( (x_1, y_1) \) is a point on the line and \( m \) is the slope.
Given the point \( (13, 5) \) and the slope \( 11 \), we can substitute these values into the point-slope form equation.
Here, \( x_1 = 13 \), \( y_1 = 5 \), and \( m = 11 \).
Substituting these values into the formula:
\[
y - 5 = 11(x - 13)
\]
This is the equation of the line in point-slope form.
You can simplify it further if needed, but in point-slope form, this is usually sufficient.
\[
y - y_1 = m(x - x_1)
\]
where \( (x_1, y_1) \) is a point on the line and \( m \) is the slope.
Given the point \( (13, 5) \) and the slope \( 11 \), we can substitute these values into the point-slope form equation.
Here, \( x_1 = 13 \), \( y_1 = 5 \), and \( m = 11 \).
Substituting these values into the formula:
\[
y - 5 = 11(x - 13)
\]
This is the equation of the line in point-slope form.
You can simplify it further if needed, but in point-slope form, this is usually sufficient.