Question

find the equation of the linear function represented by the table below in slope - intercept form.

x	0	1	2	3	4
y	-1	9	19	29	39

answer
y =

Explanation:

Step1: Find the slope (m)

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Using the points (0, -1) and (1, 9):
$m = \frac{9 - (-1)}{1 - 0} = \frac{10}{1} = 10$

Step2: Find the y-intercept (b)

The slope-intercept form is $y = mx + b$. When $x = 0$, $y = -1$, so $b = -1$.

Step3: Write the equation

Substitute $m = 10$ and $b = -1$ into $y = mx + b$:
$y = 10x - 1$

Answer:

$y = 10x - 1$