Question

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

Answer 1

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

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.

Answer 2

1) (0, 4.5)

2) (-6, 0)

3) (1 , 5.25)

Explanation:

The first step is to introduce values of x to the function to obtain three points that belong to the equation
`3x-4y = -18`

x = 0

`3(0) -4y = -18\\\\y = 18/4 = 4.5`

point (0, 4.5)

y = 0

`3x-4(0) = -18\\\\x = -6`

point (-6, 0)

x = 1

`3(1) -4y = -18\\\\-4y = -18-3\\\\y = 21/4 = 5.25`

point (1 , 5.25)

The graph of the function is shown in the attached image