Question

Find the equation of the line
passing through the points (3,1)
and (7,-7).
y = [? ]x + []

Answer 1

Given:

A line passes through two points are (3,1) and (7,-7).

To find:

The equation of the line.

Solution:

The line passes through two points are (3,1) and (7,-7). So, the equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-1=\dfrac{-7-1}{7-3}(x-3)$

$y-1=\dfrac{-8}{4}(x-3)$

$y-1=-2(x-3)$

Using distributive property, we get

$y-1=-2(x)-2(-3)$

$y-1=-2x+6$

Adding 1 on both sides, we get

$y=-2x+6+1$

$y=-2x+7$

Therefore, the equation of line is $y=-2x+7$. So, the missing values are -2 and 7 respectively.