Questions: What is the equation of the following line? Be sure to scroll down first to see all answer options. A. y=15 x B. y=5 x C. y=1/5 x D. y=-5 x E. y=-1/5 x F. y=3 x

Solution Steps

The given points on the line are (0, 0) and (15, 3).

The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Substituting the given points (0, 0) and (15, 3): \[ m = \frac{3 - 0}{15 - 0} = \frac{3}{15} = \frac{1}{5} \]

The equation of a line in slope-intercept form is: \[ y = mx + b \] Since the line passes through the origin (0, 0), the y-intercept \( b \) is 0. Therefore, the equation is: \[ y = \frac{1}{5}x \]

Final Answer