Step-by-step explanation:
To draw a line through the points (0,15) and (30,0), you can use the slope-intercept form of a line equation: \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
First, calculate the slope (\( m \)) using the formula:
\[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \]
Using the points (0,15) and (30,0):
\[ m = \frac{{0 - 15}}{{30 - 0}} = \frac{{-15}}{{30}} = -\frac{1}{2} \]
Next, substitute one of the points into the equation to solve for the y-intercept (\( b \)). Let's use (0,15):
\[ 15 = -\frac{1}{2} \cdot 0 + b \]
\[ 15 = b \]
therefore equation of the line is \( y = -\frac{1}{2}x + 15 \).
