Question

A line passes through the points (2, 1) and (4, 9). What is its equation in slope-intercept

form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

let point A be (2,1) and

B be (4,9)

Now,Slope =y2-y1

-----------------

x2-x1

= 9-1

---------

4-2

=8

-----

2

=4

Answer 2

Answer: y = 4x - 7

Step-by-step explanation:

Let's find the slope of the line through those two points.

`(x_1,y_1) = (2,1) \text{ and } (x_2,y_2) = (4,9)\\\\m = (y_(2) - y_(1))/(x_(2) - x_(1))\\\\m = (9 - 1)/(4 - 2)\\\\m = (8)/(2)\\\\m = 4\\\\`

Then we can apply point-slope form to transform it into slope-intercept form.

`y-y_1 = m(x - x_1)\\\\y-1 = 4(x - 2)\\\\y-1 = 4x - 8\\\\y = 4x - 8+1\\\\y = 4x - 7\\\\`