Question

Or

A line passes through the points (1,1) and (2,7). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

y = 6x - 5.

Explanation:

The slope of the line = (y2-y1)/(x2-x1)

= (7 - 1) / (2 - 1)

= 6.

Using the point/slope form:

y - y1 = m(x - x1)

Here we have m = 6 and (x1, y1) = ( 1, 1), so:

y - 1 = 6(x - 1)

y - 1 = 6x - 6

y = 6x - 6 + 1

y = 6x - 5 which is slope/intercept form.