Question

A line passes through the points (0, 11) and (4, 19). What is its equation in slope-intercept form?

Answer 1

y = 2x + 11

Explanation:

The general equation for the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We know that the y-intercept occurs when x is 0 so it's already given and is (0, 11).

We can find the slope using the slope formula:

`m=(y_(2)-y_(1) )/(x_(2)-x_(1) ) \\m=(19-11)/(4-0)\\ m=(8)/(4)=2`