Question

Find the equation of the line
passing through the points (2,11)
and (-8,-19).
y = [ ? ]x + [ ]

Answer 1

Given:

A line passes through two points are (2,11) and (-8,-19).

To find:

The equation of the line.

Solution:

The line passes through two points are (2,11) and (-8,-19). So, the equation of line is

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

$y-11=\dfrac{-19-11}{-8-2}(x-2)$

$y-11=\dfrac{-30}{-10}(x-2)$

$y-11=3(x-2)$

Using distributive property, we get

$y-11=3(x)+3(-2)$

$y-11=3x-6$

Adding 11 on both sides, we get

$y=3x-6+11$

$y=3x+5$

Therefore, the equation of line is $y=3x+5$. So, the missing values are 3 and 5 respectively.

Answer 2

Answer: 3x+5

Step-by-step explanation: