Question

If a line includes the points (8,0) and (20,12). What is its equation in slope-intercept form?

Answer 1

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

substitute the coordinates of the points (8, 0) and (20, 12) to the formula:

`m=(12-0)/(20-8)=(12)/(12)=1`

y = 1x + b = x + b

Put the coordinates of the point (8, 0) to the equation of a line:

0 = 8 + b subtract 8 from both sides

-8 = b

Answer: y = x - 8