Question

Find the equation of the straight line which passes through each of the following pairs of points.

(1,4) (3,10)

Answer 1

y = 3x + 1

Explanation:

First, find slope:

`y2 - y1 / x2 - x1`

`10 - 4/ 3 - 1 = 6 / 2 = 3`

Then, put the equation into point-slope form using the point (1, 4):

`y - y1 = m(x - x1)`

where m is the slope

y - 4 = 3(x - 1)

If you want to put this into slope-intercept form, it would be

`y-4=3(x-1)\\y - 4 = 3x - 3\\y = 3x + 1`