Question

x 0 1 2 3 4
y 5 3 1 -1 -3
write an equation for the table in slope-intercept form.
$y = 5x - 2$
$y = -2x + 5$
$y = \frac{1}{2}x + 5$
$y = 3x - 6$

Explanation:

Step1: Identify y-intercept (x=0)

When $x=0$, $y=5$, so $b=5$.

Step2: Calculate slope (m)

Use two points, e.g., $(0,5)$ and $(1,3)$:
$$m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-5}{1-0}=-2$$

Step3: Build slope-intercept equation

Slope-intercept form is $y=mx+b$, substitute $m=-2$, $b=5$.

Answer:

B. $y = -2x + 5$