Question

Write the equation of the line that passes through (4,-2) and (-4,-4).

Answer 1

`\[y=(1)/(4)x-3\]`

Explanation:

Equation of a line which passes through two points (x1,y1) and (x2,y2) is given by:

`\[(y-y1)/(y2-y1)=(x-x1)/(x2-x1)\]`

(x1,y1) = (4,-2)

(x2,y2) = (-4,-4)

Substituting the values in the equation:

`\[(y-(-2))/((-4)-(-2))=(x-4)/((-4)-4)\]`

=>
`\[(y+2)/(-2)=(x-4)/(-8)\]`

=>
`\[4y+8=x-4\]`

=>
`\[4y=x-12\]`

=>
`\[y=(1)/(4)x-3\]`