Question

What is the slope intercept form for a line containing the points (10, 15) and (12, 20)?

Answer 1

`y = 2/5*x+11`

Explanation:

Given:
Point 1 : (10,15)
Point 2: (12,20)

The Slope-Intercept form is y = mx + b;
Slope (m) = `(x_2 - x_1)/(y_2 - y_1)`
m = `(12-10)/(20-15)` = `2/5`

Therefore, y = `2/5`x + b.
Now, plug any one of the above points in this equation to get the y-intercept.

Using Point 1: (10,15);
15 = `2/cancel(5)*cancel(10)` + b
15 = 4 + b

`:.` b = 11
Therefore, the Slope-Intercept form for the above points is `color(red)(y = 2/5*x+11)`