Question
Use point-slope form to write the equation of a line that passes through the point left parenthesis, minus, 13, comma, 15, right parenthesis(−13,15) with slope 11
Answers
GPT-4o mini
To write the equation of a line in point-slope form, you 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.
In your case, the point is \((-13, 15)\) and the slope \(m\) is \(11\). Plugging these values into the formula gives:
\[
y - 15 = 11(x - (-13))
\]
This simplifies to:
\[
y - 15 = 11(x + 13)
\]
So the equation of the line in point-slope form is:
\[
y - 15 = 11(x + 13)
\]
\[
y - y_1 = m(x - x_1)
\]
where \((x_1, y_1)\) is a point on the line and \(m\) is the slope.
In your case, the point is \((-13, 15)\) and the slope \(m\) is \(11\). Plugging these values into the formula gives:
\[
y - 15 = 11(x - (-13))
\]
This simplifies to:
\[
y - 15 = 11(x + 13)
\]
So the equation of the line in point-slope form is:
\[
y - 15 = 11(x + 13)
\]