Question

Graph the line for 
y−6=−4(x+2)
on the coordinate plane.

Answer 1

Equation of a line is given by ax+by=c=0, where
`(-a)/(b)` 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.