Question
What is the equation in point-slope form that goes through the point (4, 5) and has a slope of 2?
Answers
Answered by
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 \((x_1, y_1)\) is a point on the line and \(m\) is the slope.
Given the point \((4, 5)\) and the slope \(2\):
- \(x_1 = 4\)
- \(y_1 = 5\)
- \(m = 2\)
Substituting these values into the point-slope form:
\[
y - 5 = 2(x - 4)
\]
This is the equation in point-slope form.
\[
y - y_1 = m(x - x_1)
\]
where \((x_1, y_1)\) is a point on the line and \(m\) is the slope.
Given the point \((4, 5)\) and the slope \(2\):
- \(x_1 = 4\)
- \(y_1 = 5\)
- \(m = 2\)
Substituting these values into the point-slope form:
\[
y - 5 = 2(x - 4)
\]
This is the equation in point-slope form.