Question

write a linear equation in slope intercept form that passes through the points (-11 -5) and (1 -2)

Answer 1

Answer:

The linear equation in slope intercept that passes through given points as  y = $\frac{1}{4}$ x - $\frac{9}{4}$  .

Step-by-step explanation:

Given points for the line equation as

( - 11 , - 5 )  and  ( 1 , - 2 )

The equation of line in slope intercept form as

$y - y_1 = m ( x - x_1)$

where m is the slope of the line

So , slope can be calculated as

m = $\frac{y_2-y_1}{x_2-x_1}$

Or, m =  $\frac{ - 2 + 5 }{1  + 11}$

Or, m =   $\frac{ 3 }{12}$

∴   m =  $\frac{ 1 }{4}$

Now The equation of line with slope  $\frac{ 1 }{4}$  and points is

$y - y_1 = m ( x - x_1)$

Or, $y+5 = \frac{1}{4} (x + 11)$

Or, 4 y + 20 = x + 11

Or, 4 y = x + 11 - 20

∴   4 y = x - 9

I,e  y = $\frac{1}{4}$ x - $\frac{9}{4}$  

Hence The linear equation in slope intercept that passes through given points as  y = $\frac{1}{4}$ x - $\frac{9}{4}$  .  Answer