Question

Graph the linear equation. Find three

Answer 1

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

$x - 4(0) =-18$

$x=-18$

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

$0 - 4y =-18$

$-4y=-18$

$y=4.5$

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

$-2 - 4y =-18$  

$-4y=-18+2$

$-4y=-16$

$y=4$

The third point is the point (-2,4)