Answer:
y = 3x - 2 (see below)
Step-by-step explanation:
First, you want to find the slope of this line.
The slope formula is:
y2 - y1
m = -----------
x2 - x1
Your points are (2, 4) and (6, 16), so plug them in:
16 - 4
m = -----------
6 - 2
12
m = ----- = 3
4
So slope is 3.
Now, to find the y-intercept (b), you have to use either one of the points and plug in the values into the slope-intercept formula:
y = mx + b
I'll use the point (2, 4):
4 = 3 (2) + b
Simplify for b:
4 = 6 + b
-2 = b
b = -2
Now just plug in your b and m values:
y = 3x - 2
