Question

graph the following equation:
$y = \frac{2}{3}x - 4$
first, fill in the table.

x	y
0
3

Explanation:

Step1: Find y when x = 0

Substitute \( x = 0 \) into the equation \( y=\frac{2}{3}x - 4 \).
\( y=\frac{2}{3}(0)-4 = 0 - 4=-4 \)

Step2: Find y when x = 3

Substitute \( x = 3 \) into the equation \( y=\frac{2}{3}x - 4 \).
\( y=\frac{2}{3}(3)-4 = 2 - 4=-2 \)

Answer:

The completed table is:

x	y
3	-2

To graph the line, plot the points \((0, -4)\) and \((3, -2)\) on the coordinate plane and draw a straight line through them.