How can the line passing through the points (3,5) and (1,4) be written in the slope intercept form?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The equation of a line passing through the points (x1, y1) and (x2 , y2) is given by

(y - y1) = [(y2 - y1)/(x2 - x1)]*(x - x1)

Here we have x1 = 3, x2 = 1 , y1 = 5 and y2 = 4.

Substituting the values:

y...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

The equation of a line passing through the points (x1, y1) and (x2 , y2) is given by

(y - y1) = [(y2 - y1)/(x2 - x1)]*(x - x1)

Here we have x1 = 3, x2 = 1 , y1 = 5 and y2 = 4.

Substituting the values:

y - 5 = [-1 / -2]( x - 3)

=> y - 5 = (1/2)(x - 3)

=> 2y - 10 = x - 3

=> 2y = x + 7

Now this is the equation in the slope intercept form. The slope is (1/2) and the y intercept is (7/2).

=> y = x / 2 + 7/2

Approved by eNotes Editorial Team