Problem

Find the $y$-intercept of the linear function that has a slope of -4 and the goes through the point $(1,24)$

Answer

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Answer

Final Answer: The \(y\)-intercept of the linear function is \(\boxed{28}\).

Steps

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

Step 2 ：We know the slope \(m\) is -4 and the line passes through the point \((1,24)\).

Step 3 ：We can substitute these values into the equation to solve for \(b\), the y-intercept.

Step 4 ：Substituting the values we get \(24 = -4*1 + b\).

Step 5 ：Solving for \(b\) we get \(b = 24 + 4 = 28\).

Step 6 ：Final Answer: The \(y\)-intercept of the linear function is \(\boxed{28}\).

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