Answer:
Part 1) The graph in the attached figure
Part 2) Three points that solve the equation could be (-18,0),(0,4.5) and (-2,4)
Step-by-step explanation:
we know that
To graph a line we need to plot two points
If a point solve the linear equation, then the point is a solution of the linear equation
step 1
Find the first point that solve the equation
Find the x-intercept
The x-intercept is the value of x when the value of y is equal to zero
For y=0
[tex]x - 4(0) =-18[/tex]
[tex]x=-18[/tex]
The x-intercept is the point (-18,0)
step 2
Find the second point that solve the equation
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
For x=0
[tex]0 - 4y =-18[/tex]
[tex]-4y=-18[/tex]
[tex]y=4.5[/tex]
The y-intercept is the point (0,4.5)
step 3
With the intercepts graph the line
Plot the intercepts and join the points to graph the line
using a graphing tool
see the attached figure
step 4
Find the third point that solve the equation
Assume a value for x and then solve for y
I assume x=-2
substitute in the linear equation and solve for y
[tex]-2 - 4y =-18[/tex]
[tex]-4y=-18+2[/tex]
[tex]-4y=-16[/tex]
[tex]y=4[/tex]
The third point is the point (-2,4)
