Lee Reyes
06/21/2024 · High School
Write the point-slope form of a linear equation given the point (-1, 4) and a slope of 3.
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Step-by-step Solution
The point-slope form of a linear equation 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 \((-1, 4)\) and a slope of \(3\), we can substitute \(x_1 = -1\), \(y_1 = 4\), and \(m = 3\) into the formula:
\[
y - 4 = 3(x - (-1))
\]
This simplifies to:
\[
y - 4 = 3(x + 1)
\]
So, the point-slope form of the linear equation is:
\[
y - 4 = 3(x + 1)
\]
Quick Answer
The point-slope form of the equation is \( y - 4 = 3(x + 1) \).
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