Derive the equation of the line in slope-intercept form. 0,4 and 1,8
First, we need to find the slope of the line using the given 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 plug the slope and one of the points into the slope-intercept form of a line, y = mx + b, to find the y-intercept (b).
Using point (0,4):
4 = 4(0) + b
b = 4
Now we can write the equation of the line in slope-intercept form:
y = 4x + 4