Questions: Question 2 - of 23 Step 1 of 1 Graph the line by locating any two ordered pairs that satisfy the equation. Round to the nearest thousandth, if necessary. y = (4/3)x - 4

Question 2 - of 23 Step 1 of 1

Graph the line by locating any two ordered pairs that satisfy the equation. Round to the nearest thousandth, if necessary.
y = (4/3)x - 4

Transcript text: Question 2 - of 23 Step 1 of 1 Graph the line by locating any two ordered pairs that satisfy the equation. Round to the nearest thousandth, if necessary. \[ y=\frac{4}{3} x-4 \] Answer Answered 2 Points Enter the coordinates to plot points on the graph. Any lines or curves will be drawn once all required points are plotted.

Solution

Solution Steps

Step 1: Identify two points on the line

To graph the line $ y = \frac{4}{3}x - 4 $, we need to find two points that satisfy the equation. We can choose any two values for $ x $ and solve for $ y $.

Let's choose $ x = 0 $: \[ y = \frac{4}{3}(0) - 4 = -4 \] So, one point is $ (0, -4) $.

Now, let's choose $ x = 3 $: \[ y = \frac{4}{3}(3) - 4 = 4 - 4 = 0 \] So, another point is $ (3, 0) $.

Step 2: Verify the points

Both points $ (0, -4) $ and $ (3, 0) $ satisfy the equation $ y = \frac{4}{3}x - 4 $.

Final Answer

The two points that can be used to graph the line are $ (0, -4) $ and $ (3, 0) $.

{"axisType": 3, "coordSystem": {"xmin": -5, "xmax": 5, "ymin": -5, "ymax": 5}, "commands": ["y = (4/3)x - 4"], "latex_expressions": ["$y = \\frac{4}{3}x - 4$"]}

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