Give the slope and $$ y $$-intercept of the line whose equation is given. Then graph the linear function. $$ f(x)=\frac{4}{5} x-4 $$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is (Simplify your answer. Type an integer or a fraction.) B. The slope is undefined.

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The given function is f(x) = (4/5)x – 4.

Step 1. Find the Slope and y-intercept.
• The equation is already in slope-intercept form: f(x) = mx + b.
• The slope (m) is 4/5.
• The y-intercept (b) is –4, which corresponds to the point (0, –4).

Answer: Choice A. The slope is 4/5, and the y-intercept is (0, –4).

Step 2. Graphing the Function.
1. Plot the y-intercept: Begin at the point (0, –4) on the graph.
2. Use the slope: The slope 4/5 means you rise 4 units (up) and run 5 units (right). From (0, –4), move up 4 units to get to (0, 0) and then 5 units right to plot the point (5, 0).
3. Plot additional points if needed: You can also move in the opposite direction. From (0, –4), move down 4 units and 5 units left to find another point.
4. Draw a straight line through the points.

Your graph should display a line that crosses the y-axis at –4 and has a moderate upward tilt to the right.

Thus, the slope is 4/5 and the y-intercept is (0, –4).
The slope is 4/5, and the y-intercept is (0, –4).

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