Dertive the equation of the line in slope-intercept form. (0,4) and (1,8)

Answer 1

First, let's find the slope of the line using the formula:

m = (y2 - y1) / (x2 - x1)

Where (x1, y1) = (0,4) and (x2, y2) = (1,8)

m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4

Now that we have the slope, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Using the point (0,4):

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

Rewrite in slope-intercept form:

y = 4x + 4

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