Question

The graph is a straight line passing through the origin (0,0) and the point (4,3)

Answer 1

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 \(\frac{3}{4}\).