Question

Write the slope intercept from of the equation of the line that passed though the given points. ( − 1 , − 2 ) a n d ( 1 , − 4 )

Answer 1

Slope intercept form of a line passing through (-1, -2) and (1, -4) is
`y= -x-3.`

Solution:

We have to find the equation of a line in slope intercept form.

Given that

Line is passing through point (− 1, − 2) and (1, − 4).

Equation of line passing through point
`(x_1, y_1)` and
`(x_2, y_2)` is given by,

`y-y_(1)=(\left(y_(2)-y_(1)\right))/(\left(x_(2)-x_(1)\right))\left(x-x_(1)\right) \Rightarrow(1)`

In our case
`x_(1)=-1, y_(1)=-2, x_(2)=1, y_(2)=-4`

Substituting given value in (1) we get ,

`\begin{array}{l}{\Rightarrow y-(-2)=((-4-(-2)))/((1-(-1)))(x-(-1))} \\\\ {\Rightarrow y+2=-(2)/(2)(x+1)} \\\\ {\Rightarrow y+2=-1(x+1)} \\\\ {\Rightarrow y+2=-x-1} \\\\ {\Rightarrow y=-x-1-2} \\\\ {\Rightarrow y=-x-3}\end{array}`

Hence slope intercept form of a line passing through (-1, -2) and (1, -4) is
`y= -x-3`