Graph the line with the equation y, equals, start fraction, 3, divided by, 4, end fraction, x, minus, 4y=
4
3
x−4.
To graph the line with the equation y = \frac{3}{4}x - \frac{4}{3}, we will first rewrite the equation in slope-intercept form (y = mx + b).
y = \frac{3}{4}x - \frac{4}{3}
This equation can be rewritten as:
y = \frac{3}{4}x - \frac{4}{3}
where m = \frac{3}{4} is the slope and b = -\frac{4}{3} is the y-intercept.
To graph the line, start by plotting the y-intercept at y = -\frac{4}{3} which is around -1.33 on the y-axis. Remember that the line has a slope of \frac{3}{4}. This means that for every increase of 4 units on the x-axis, the line will increase by 3 units on the y-axis. Connect these two points with a straight line to complete the graph.
The graph of y = \frac{3}{4}x - \frac{4}{3} is a line passing through the points (-3, -\frac{4}{3}) and (1, -1).
It should look something like this:
graph{3/4*x-4/3 [-5, 5, -3, 2]}