Answer:
Equation of a line is given by ax+by=c=0, where [tex]\frac{-a}{b}[/tex] is the slope of the line.
Given : y−6=−4(x+2)
⇒y-6= -4x-8[distributive property]
⇒4x+y+2=0[standard form] is the equation of line, whose slope= -4
to plot this line on the coordinate plane , we to find its points by substitution.
1. Substitute x=0 in equation, we get
y+2=0⇒y=-2
2. Substitute y=2 in equation, we get
4x+2+2=0⇒4x+4=0⇒x= -1
So we got points (0,-2)and(-1,2) to plot the line on coordinate plane.
Using this you can plot the graph as shown in picture.
