Question

question 10 (4 points)
give the equation for the following line in slope - intercept form:

y = 2x + 4
y = \frac{1}{2}x - 2
y = 4x + 2
y = -2x + 4

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, -2)$, so $b=-2$.

Step2: Calculate the slope

Use two points $(0, -2)$ and $(4, 0)$. Slope $m=\frac{0-(-2)}{4-0}=\frac{2}{4}=\frac{1}{2}$.

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=\frac{1}{2}$ and $b=-2$.

Answer:

$\boldsymbol{y=\frac{1}{2}x - 2}$ (Option: $y = \frac{1}{2}x - 2$)