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find the equation of the linear function represented by the table below in slope-intercept form.
$x$: 0, 1, 2, 3, 4
$y$: -1, 5, 11, 17, 23

Explanation:

Step1: Identify y-intercept (b)

When $x=0$, $y=-1$, so $b=-1$.

Step2: Calculate slope (m)

Use two points, e.g., $(0,-1)$ and $(1,5)$.
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-(-1)}{1-0}=\frac{6}{1}=6$

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=6$ and $b=-1$.
$y=6x-1$

Answer:

$y=6x-1$