Question

question 2 (multiple choice worth 2 points) (slope-intercept form mc) the table shown represents a linear relationship. \

$$\begin{tabular}{|c|c|c|c|c|} \\hline x & 0 & 1 & 2 & 3 \\\\ \\hline y & -6 & -3 & 0 & 3 \\\\ \\hline \\end{tabular}$$

based on the table, what is the equation of the linear relationship in slope-intercept form? \bigcirc $y = -3x + 2$ \bigcirc $y = -3x - 2$ \bigcirc $y = 3x + 6$ \bigcirc $y = 3x - 6$

Explanation:

Step1: Identify y-intercept

When $x=0$, $y=-6$, so $b=-6$.

Step2: Calculate slope $m$

Use points $(0,-6)$ and $(1,-3)$:
$m=\frac{-3 - (-6)}{1 - 0}=\frac{3}{1}=3$

Step3: Write slope-intercept equation

Slope-intercept form is $y=mx+b$, substitute $m=3$, $b=-6$.

Answer:

y = 3x - 6