Question

on 5 write an equation given the slope a...
identify the slope, y intercept, and equation in slope-intercept form.

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, 4)$, so $b=4$.

Step2: Calculate slope

Use two points: $(0,4)$ and $(4,0)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{0-4}{4-0}=\frac{-4}{4}=-1$

Step3: Write slope-intercept equation

Slope-intercept form: $y=mx+b$
Substitute $m=-1, b=4$: $y=-x+4$

Answer:

• Slope: $-1$
• y-intercept: $4$
• Equation: $y=-x+4$