Question
Use the given conditions to write an equation for the line in point-slope form. Slope \( =\frac{4}{5} \), passing through \( (7,4) \)
Ask by Savage Zimmerman. in the United States
Feb 25,2025
Upstudy AI Solution
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Answer
The equation in point-slope form is \( y - 4 = \frac{4}{5}(x - 7) \).
Solution
The point-slope form of a line is given by:
y - y₁ = m(x - x₁)
Here, the slope m is 4/5 and the point (x₁, y₁) is (7, 4). Plugging in these values gives:
y - 4 = (4/5)(x - 7)
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Simplify this solution Beyond the Answer
To write the equation of a line in point-slope form, you can use the formula \( y - y_1 = m(x - x_1) \), where \( m \) is the slope and \( (x_1, y_1) \) is the point the line passes through. Substituting the slope \( \frac{4}{5} \) and the point \( (7,4) \) into the formula gives you: \( y - 4 = \frac{4}{5}(x - 7) \). And there you have it, the equation of the line! Now you’re all set to graph this bad boy! Just plug in some values for \( x \) to find corresponding \( y \) values, or pick a few \( y \) values to find \( x \) values. You'll quickly see how this line stretches across the graph, showcasing that beautiful slope of \( \frac{4}{5} \). Happy graphing!
