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

Answer:

A) y=4x-12

B) y-4x=-12

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

Step-by-step 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:

     $\rightarrow \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}_x_{1}}\\\\\rightarrow \frac{y-4}{x-4} =\frac{4+4}{4-2}\\\\\rightarrow \frac{y-4}{x-4} =4\\\\ \rightarrow y-4=4 x-16\\\\\rightarrow 4 x-y -16+4=0\\\\\rightarrow 4 x -y-12=0$

Standard Form : 4 x-y-12=0

Slope-intercept form

  $\rightarrow 4 x-y-12=0\\\\\rightarrow 4 x- y=12\\\\\rightarrow \frac{4 x-y}{12}=1\\\\\rightarrow \frac{4x}{12}-\frac{y}{12}=1\\\\\rightarrow \frac{x}{3} +\frac{y}{-12}=1$

Point-slope form

  $\rightarrow \frac{y-4}{x-4} =\frac{4+4}{4-2}\\\\\rightarrow \frac{y-4}{x-4} =4$