Dertive the equation of the line in slope-intercept form.

Question

(0,4) and (1,8)

Answer 1

First, we need to find the slope of the line using the coordinates (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 form of the equation of a line to find the equation in slope-intercept form. The point-slope form is:

y - y1 = m(x - x1)

Using the point (0,4):

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

Now, simplify this equation to slope-intercept form:

y = 4x + 4

So, the equation of the line passing through the points (0,4) and (1,8) in slope-intercept form is y = 4x + 4.