Derive the equation of the line in slope-intercept from

(0,4) (1,8)

1 answer

First, let's find the slope of the line using the two points (0,4) and (1,8):

Slope (m) = (y2 - y1) / (x2 - x1)
m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4

Now that we have the slope, we can use the point-slope formula to find the equation of the line:

y - y1 = m(x - x1)

Using the point (0,4) as (x1,y1), we get:

y - 4 = 4(x - 0)
y - 4 = 4x

Adding 4 to both sides:

y = 4x + 4

Therefore, the equation of the line in slope-intercept form is y = 4x + 4.