Questions: A line passes through the point (4,3) and has a slope of 5/4. Write an equation in point-slope form for this line.

A line passes through the point (4,3) and has a slope of 5/4. Write an equation in point-slope form for this line.
Transcript text: A line passes through the point $(4,3)$ and has a slope of $\frac{5}{4}$. Write an equation in point-slope form for this line.
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Solution

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Solution Steps

Step 1: Identify the Known Values

We are given a point \((x_1, y_1) = (4, 3)\) and a slope \(m = 1.25\).

Step 2: Apply the Point-Slope Formula

The point-slope form of the equation of a line is given by: \[y - y_1 = m(x - x_1)\] where \((x_1, y_1)\) is a point on the line and \(m\) is the slope of the line.

Final Answer:

The equation of the line in point-slope form is \[y - 3 = 1.25(x - 4)\].

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