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use the x-intercept and the y-intercept to graph the line 3x + 4y = 12

Question

use the x-intercept and the y-intercept to graph the line 3x + 4y = 12

Explanation:

Answer:

To find the \(x\)-intercept, set \(y = 0\): \(5x+4(0)=42\Rightarrow x=\frac{42}{5}=8.4\). To find the \(y\)-intercept, set \(x = 0\): \(5(0)+4y=42\Rightarrow y=\frac{42}{4}=10.5\). Plot the points \((8.4,0)\) and \((0,10.5)\) and draw a line through them.