Question

given the table, write the equation in the slope - intercept form. the table is:

x	y
-3	0
0	6
3	12
6	18

options:
y = 1/3x + 6
y = 3x + 6
y = 1/2x + 6
y = 2x + 6

Explanation:

Step1: Identify y-intercept (b)

The y-intercept is the y-value when $x=0$. From the table, when $x=0$, $y=6$, so $b=6$.

Step2: Calculate slope (m)

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$. Take points $(-3,0)$ and $(0,6)$:
$m=\frac{6-0}{0-(-3)}=\frac{6}{3}=2$

Step3: Write slope-intercept equation

Slope-intercept form is $y=mx+b$. Substitute $m=2$ and $b=6$.

Answer:

y = 2x + 6