Problem

Write an equation for the line with slope $\frac{7}{5}$ and $y$-intercept -3. Give your answer in slope-intercept form.

Answer

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Answer

Final Answer: The equation of the line is \(\boxed{y = \frac{7}{5}x - 3}\).

Steps

Step 1 ：The slope-intercept form of a line is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Step 2 ：In this case, we are given that the slope \(m = \frac{7}{5}\) and the y-intercept \(b = -3\).

Step 3 ：We can substitute these values into the equation to get the equation of the line.

Step 4 ：Final Answer: The equation of the line is \(\boxed{y = \frac{7}{5}x - 3}\).

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