Problem

Consider the following equation.
\[
y=\frac{4}{3} x+3
\]
Step 3 of 3 : Indicate the slope of the line by plotting a point on the line other than the $y$-intercept.
Answer

Answer

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Answer

Final Answer: Therefore, the slope of the line is \(\boxed{\frac{4}{3}}\).

Steps

Step 1 :Consider the following equation: \(y=\frac{4}{3} x+3\)

Step 2 :The slope of a line is given by the coefficient of x in the equation of the line. In this case, the slope of the line is \(\frac{4}{3}\).

Step 3 :To indicate the slope of the line by plotting a point on the line other than the y-intercept, we can choose a value for x and calculate the corresponding value for y using the equation of the line. Let's choose x = 1.

Step 4 :When x = 1, y = \(\frac{4}{3} \times 1 + 3 = 4.33\)

Step 5 :The point (1, 4.33) is on the line and can be used to indicate the slope of the line.

Step 6 :Final Answer: Therefore, the slope of the line is \(\boxed{\frac{4}{3}}\).

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