Question

write the equation of this line in slope - intercept form.
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify the y-intercept (b)

The line crosses the y-axis at (0, 50), so \( b = 50 \).

Step2: Find two points to calculate slope (m)

We have two points: (0, 50) and (80, 10). The slope formula is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Substitute the points: \( m=\frac{10 - 50}{80 - 0}=\frac{-40}{80}=-\frac{1}{2} \).

Step3: Write the slope - intercept form (\( y = mx + b \))

Substitute \( m = -\frac{1}{2} \) and \( b = 50 \) into the formula: \( y=-\frac{1}{2}x + 50 \).

Answer:

\( y = -\frac{1}{2}x + 50 \)