Question

Write a linear equation in Slope-Intercept Form for a line that goes through the
points (-4, -1) and (-2,-5).*

Answer 1

Answer:

y = -2x -9

Step-by-step 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

$\frac{x2 + x1}{2} , \frac{y2 + y1}{2}$

now place the values in the equation :

$\frac{-4 +-2}{2} , \frac{-5 + -1 }{2}$

midpoint = ( -3 , -3)

STEP 2 : The gradient

formula of finding the gradient

$\frac{y2-y1}{x2-x1}$

insert the values in the equation:

$\frac{-5-(-1)}{-2-(-4)}$

=$\frac{-4}{2} = -2$

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