Question

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

Answer 1

To find the equation of the line in slope-intercept form, we need to determine the slope (m) and the y-intercept (b).

First, let's find the slope (m) using the formula:

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

Using the coordinates (1,8) and (0,4):

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

Now, let's find the y-intercept (b). We can use the point (0,4) and the slope (m) in the slope-intercept form equation:

y = mx + b

Using the point (0,4):

4 = 4(0) + b
4 = 0 + b
b = 4

Therefore, the slope-intercept form equation of the line is:

y = 4x + 4