Question

drag numbers to complete a function in terms of x and y for the line that contains the points (2, 4) and (6, 16). numbers may be used once, more than once, or not at all.
1 2 3 4 6
y = \square x - \square

Explanation:

Step1: Calculate slope m

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{16-4}{6-2}=\frac{12}{4}=3$

Step2: Find y-intercept b

Substitute $m=3$, $(x,y)=(2,4)$ into $y=mx+b$:
$4=3\times2+b$
$4=6+b$
$b=4-6=-2$

Step3: Form linear function

Substitute $m=3$, $b=-2$ into $y=mx+b$:
$y=3x-2$

Answer:

$y=3x-2$
(The first box is filled with 3, the second box is filled with 2)