Question

Write a linear equation in Slope-Intercept Form for a line that goes through the

points (-4, -1) and (-2,-5).*

Answer 1

y = -2x -9

Explanation:

in order to solve this question you have to do the following :

1. find the midpoint of the coordinates given

2. find the gradient of the line

3. make the equation

STEP : The midpoint

formula of the midpoint is

`(x2 + x1)/(2) , (y2 + y1)/(2)`

now place the values in the equation :

`(-4 +-2)/(2) , (-5 + -1 )/(2)`

midpoint = ( -3 , -3)

STEP 2 : The gradient

formula of finding the gradient

`(y2-y1)/(x2-x1)`

insert the values in the equation:

`(-5-(-1))/(-2-(-4))`

=
`(-4)/(2) = -2`

gradient = -2

STEP 3: Form the equation

use the formula of the equation :

`(Y - y1) = m( X - x1)`

now make use of the gradient(m) and the midpoints and insert into the equation

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

hence

y+3 = -2 (x +3)

y= -2x -6 -3

y = -2x -9