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

1 Answer
Mar 24, 2018

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 = 2/5x + 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)