graph $y = \\frac{2}{3}x - 4$.
graph $y = \\frac{2}{3}x - 4$.
Answer
Explanation:
Step1: Find the y - intercept
The equation is in slope - intercept form (y = mx + b), where (b) is the y - intercept. For (y=\frac{2}{3}x - 4), when (x = 0), (y=-4). So one point is ((0,-4)).
Step2: Use the slope to find another point
The slope (m=\frac{2}{3}). From the point ((0,-4)), using the slope formula (\text{slope}=\frac{\Delta y}{\Delta x}), if (\Delta x = 3), then (\Delta y=2). So from ((0,-4)), moving 3 units to the right (increase (x) by 3) and 2 units up (increase (y) by 2), we get the point ((3,-2)).
Step3: Draw the line
Plot the points ((0,-4)) and ((3,-2)) on the coordinate plane and draw a straight line passing through them.
Answer:
Plot the points ((0,-4)) and ((3,-2)) and draw a straight line through them to graph (y = \frac{2}{3}x-4).