What is the graph of 2x + 5y = 20
To graph the equation 2x + 5y = 20, we need to rearrange it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
2x + 5y = 20
5y = -2x + 20
y = (-2/5)x + 4
Now we can graph it by plotting points. Starting with the y-intercept, which is 4, we plot the point (0, 4) on the graph. Then, using the slope -2/5, we can find other points on the graph. From the point (0, 4), we can go 2 points to the right and 5 points down to get another point on the line.
Using these steps, we can plot more points and create a line. Here is the graph:
{{{ graph( 300, 200, -10, 10, -10, 10, (-2/5)x + 4) }}}