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

Answer:  y = 4x - 7

Explanation:

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

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

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

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

Answer 2

Answer:

let point A be (2,1) and

B be (4,9)

Now,Slope =y2-y1

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

x2-x1

= 9-1

---------

4-2

=8

-----

2

=4