Graph the line with the equation
\[
y=-\frac{2}{3} x+4 \text {. }
\]
Answer
\(\boxed{\text{The graph of the line } y=-\frac{2}{3}x+4 \text{ is a straight line that intersects the y-axis at 4 and has a slope of -2/3. This means that for every 3 units we move to the right along the x-axis, we move 2 units down along the y-axis.}}\)
Step 1 ：The given equation is in the form of y = mx + b, where m is the slope and b is the y-intercept. Here, m = -2/3 and b = 4.
Step 2 ：We start by plotting the y-intercept (0,4) on the graph.
Step 3 ：Then, we use the slope to find another point on the line. The slope is -2/3, which means we go down 2 units and to the right 3 units from the y-intercept.
Step 4 ：By connecting these points, we get the graph of the line \(y=-\frac{2}{3}x+4\).
Step 5 ：\(\boxed{\text{The graph of the line } y=-\frac{2}{3}x+4 \text{ is a straight line that intersects the y-axis at 4 and has a slope of -2/3. This means that for every 3 units we move to the right along the x-axis, we move 2 units down along the y-axis.}}\)
