Graph the linear equation. find three points that solve the equation then plot them on the graph 3x-4y=-18

1) (0, 4.5)

2) (-6, 0)

3) (1 , 5.25)

Step-by-step explanation:

The first step is to introduce values of x to the function to obtain three points that belong to the equation

x = 0

point (0, 4.5)

y = 0

point (-6, 0)

x = 1

point (1 , 5.25)

The graph of the function is shown in the attached image

Points are (-6, 0), (0, 4.5), (4, 7.5)

Step-by-step explanation:

The given linear equation is 3x - 4y = -18

-4y = -3x -18

4y = 3x + 18

y = (3/4)x + 18/4

y = (3/4)x + 9/2

To plot the graph we have a line with slope m = 3/4 and y- intercept = 9/2

Now we will find three points which lie on the graph.

For x = 0

y = 0 + 9/2 = 9/2

for x = -6

y = (3/4)×(-6) + 9/2 = -9/2 + 9/2 = 0

For x = 4

y = (3/4)×4 + 9/2 = 3 + 9/2 = 15/2

Now we will plot the graph.

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225