The given equation y = (-4/3)x + 2 is in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Slope (m) = -4/3
Y-intercept (b) = 2
To graph this equation:
Step 1: Plot the y-intercept at y = 2 on the y-axis.
Step 2: Use the slope to find another point on the line. The slope -4/3 means for every 3 units of horizontal change (x), there is a 4-unit downward change in y. So you can go down 4 and over 3 from the point (0,2).
Step 3: Draw a straight line through these two points to represent the graph of the equation y = (-4/3)x + 2.
The graph of the equation y = (-4/3)x + 2 will be a straight line with a slope of -4/3 passing through the point (0,2).