Question

Graph the linear equation. Find three

points that solve the equation, then plot
on the graph.
x - 4y = -18

Answer 1

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)

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)