Question

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slope-intercept form of the equation for this line?

Answer 1

So slope intercept form is y=mx+b
m=slope b=y intercept
convert current equation to slpe intercept
y-4=x-8
add 4 to both sides
y=x-4
tada

Answer 2

Using the y1-y2 and x1-x2 method, take 4-2, over, 8-0= 1/4. (m=1/2, or slope)
Then just use any of the coordinates to plug in the equation. y=mx+b

4=1/4(8)+b
4=2+b
b=2

Thus, your final equation is y= 1/4x+2