Question

Write the equations of the line contains E and F in:

A) slope-intercept form
B) standard form
C) point-slope form

Answer 1

A) y=4x-12

B) y-4x=-12

C) y+4=4(x-2)

Explanation:

Sorry it took you so long to be answered, but I hope this helps! :D

Answer 2

Answer with explanation:

Coordinate of Point E and F are = (4,4) and (2,-4).

Two Point form of line, that is equation of line Passing through two points is given by:

`\rightarrow (y-y_(1))/(x-x_(1))=(y_(2)-y_(1))/(x_(2)_x_(1))\\\\\rightarrow (y-4)/(x-4) =(4+4)/(4-2)\\\\\rightarrow (y-4)/(x-4) =4\\\\ \rightarrow y-4=4 x-16\\\\\rightarrow 4 x-y -16+4=0\\\\\rightarrow 4 x -y-12=0`

Standard Form : 4 x-y-12=0

Slope-intercept form

`\rightarrow 4 x-y-12=0\\\\\rightarrow 4 x- y=12\\\\\rightarrow (4 x-y)/(12)=1\\\\\rightarrow (4x)/(12)-(y)/(12)=1\\\\\rightarrow (x)/(3) +(y)/(-12)=1`

Point-slope form

`\rightarrow (y-4)/(x-4) =(4+4)/(4-2)\\\\\rightarrow (y-4)/(x-4) =4`