Question

write the equation of the line in the graphed below in y-intercept form
options:

• $y = 5/4x - 5$
• $y = 5/4x + 5$
• $y = 4/5x + 5$
• $y = 4/5x - 5$

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at (0, -5), so the y-intercept \( b = -5 \).

Step2: Calculate slope

Use two points, e.g., (0, -5) and (4, 0). Slope \( m = \frac{0 - (-5)}{4 - 0} = \frac{5}{4} \).

Step3: Write equation

Y-intercept form is \( y = mx + b \). Substituting \( m = \frac{5}{4} \) and \( b = -5 \), we get \( y = \frac{5}{4}x - 5 \).

Answer:

\( y = \frac{5}{4}x - 5 \) (corresponding to the first option: \( y = 5/4x - 5 \))