Question

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

Answer 1

Answer:

$\[y=\frac{1}{4}x-3\]$

Step-by-step explanation:

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

$\[\frac{y-y1}{y2-y1}=\frac{x-x1}{x2-x1}\]$

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

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

Substituting the values in the equation:

$\[\frac{y-(-2)}{(-4)-(-2)}=\frac{x-4}{(-4)-4}\]$

=> $\[\frac{y+2}{-2}=\frac{x-4}{-8}\]$

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

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

=> $\[y=\frac{1}{4}x-3\]$