Question

Write the STANDARD FORM of the equation through the point (4,-4) witha slope of -2.

Answer 1

The general equation of line with the slope "m" and passing points (a,b) is :

y - b = m (x -a)

In the given question:

Slope m = -2, passing points (a,b) = (4,-4)

Substitute the value of a = 4, b = -4 in the general equation of line

$\begin{gathered} y-b=m(x-a) \\ y-(-4)=(-2)(x-4) \\ y+4=-2(x-4) \\ y+4=-2x+8 \\ y+2x=8-4 \\ 2x+y=4 \end{gathered}$

The equation with the slope -2 and passing points (4,-4) is 2x + y = 4

Answer : 2x + y = 4