Question
What is the point-slope form of the equation of the line that has a slope of 2 and passes through the point (−5,4)
?(1 point)
?(1 point)
Answers
GPT-4o mini
The point-slope form of the equation of a line is given by the formula:
\[
y - y_1 = m(x - x_1)
\]
where \( m \) is the slope, and \( (x_1, y_1) \) is a point on the line.
Given the slope \( m = 2 \) and the point \( (x_1, y_1) = (-5, 4) \), we can substitute these values into the formula:
\[
y - 4 = 2(x - (-5))
\]
This simplifies to:
\[
y - 4 = 2(x + 5)
\]
So, the point-slope form of the equation of the line is:
\[
y - 4 = 2(x + 5)
\]
\[
y - y_1 = m(x - x_1)
\]
where \( m \) is the slope, and \( (x_1, y_1) \) is a point on the line.
Given the slope \( m = 2 \) and the point \( (x_1, y_1) = (-5, 4) \), we can substitute these values into the formula:
\[
y - 4 = 2(x - (-5))
\]
This simplifies to:
\[
y - 4 = 2(x + 5)
\]
So, the point-slope form of the equation of the line is:
\[
y - 4 = 2(x + 5)
\]