Question

A line passes through the points (0, 3) and (10, 2). What is its equation in slope-intercept form?

Answer 1

1. Find slope.

slope(m)

`= (y2 - y1)/(x2 - x1) \\`

`(2 - 3)/(10 - 0) = ( - 1)/(10)`

2. Substitute any point. (either (0,3) or (10,2) to find the y-intercept (b)

y=mx+b

3=-1/10+b

b=31/10 or 3.1

so the final answer is

y= - 1/10 + 31/10 or y= - 0.1 + 3.1