Davies Bush
05/01/2024 · High School
Write the equation of a line in point-slope form that passes through the point (4, 2) with a slope of 3.
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
The point-slope form of a line is given by the equation:
\[
y - y_1 = m(x - x_1)
\]
where \( (x_1, y_1) \) is a point on the line and \( m \) is the slope.
Given the point \( (4, 2) \) and the slope \( m = 3 \), we can substitute these values into the equation:
\[
y - 2 = 3(x - 4)
\]
This is the equation of the line in point-slope form.
Quick Answer
\( y - 2 = 3(x - 4) \)
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