Question

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

Answer 1

Answer:16

Explanation:

divide it

Answer 2

The linear equation in slope intercept that passes through given points as y =
`(1)/(4)` x -
`(9)/(4)` .

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 =
`(y_2-y_1)/(x_2-x_1)`

Or, m =
`( - 2 + 5 )/(1  + 11)`

Or, m =
`( 3 )/(12)`

∴ m =
`( 1 )/(4)`

Now The equation of line with slope
`( 1 )/(4)` and points is

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

Or,
`y+5 = (1)/(4) (x + 11)`

Or, 4 y + 20 = x + 11

Or, 4 y = x + 11 - 20

∴ 4 y = x - 9

I,e y =
`(1)/(4)` x -
`(9)/(4)`

Hence The linear equation in slope intercept that passes through given points as y =
`(1)/(4)` x -
`(9)/(4)` . Answer