The graph you described is a linear equation that goes through the origin (0,0) and the point (4,3). To find the equation of this line, you can calculate the slope (m) using the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Using the points (0,0) and (4,3):
\[ m = \frac{3 - 0}{4 - 0} = \frac{3}{4} \]
Since the line passes through the origin, the y-intercept (b) is 0. Therefore, the equation of the line in slope-intercept form \(y = mx + b\) is:
\[ y = \frac{3}{4}x \]
So, the equation of the line is:
\[ y = \frac{3}{4}x \]
This line will continue infinitely in both directions, maintaining the same slope of \(\frac{3}{4}\).
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