Use the slope-intercept form to graph the equation
\[
4 x-3 y=12
\]
Use the graphing tool to graph the line. Use the slope and y-intercept when drawing the line.

Answer

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Answer

\(\boxed{y = \frac{4}{3}x - 4}\) is the equation in slope-intercept form, with a slope of \(\frac{4}{3}\) and a y-intercept of -4.

Steps

Step 1 ：Convert the given equation into slope-intercept form, which is y = mx + b:

Step 2 ：\(4x - 3y = 12\)

Step 3 ：\(-3y = -4x + 12\)

Step 4 ：\(y = \frac{4}{3}x - 4\)

Step 5 ：\(\boxed{y = \frac{4}{3}x - 4}\) is the equation in slope-intercept form, with a slope of \(\frac{4}{3}\) and a y-intercept of -4.