Question

How do you graph
y=3x and y=-x-8

Answer 1

The points for the given two linear equation as

`x_1 , y_1` = - 2 , - 6

`x_2 , y_2` = - 2 , 6

The graph so plotted as shown

Explanation:

Given as :

The two linear equation are

y = 3 x ........A and

y = - x - 8 .........B

Solving equation A and B

Now, Put The value of y from eq A into eq B

So, 3 x = - x - 8

Or, 3 x + x = - 8

Or, 4 x = - 8

∴ x =
`(-8)/(4)`

I.e x = - 2

Now , Put the value of x into eq A

∵ y = 3 x

∴ y = 3 × (-2)

I.e y = - 6

Again, Put the value of x into eq B

∵ y = - x - 8

∴ y = - 2 - (-8)

I.e y = 6

So, for x = - 2 , y = - 6

And for x = - 2 , y = 6

Hence , The points for the given two linear equation as

`x_1 , y_1` = - 2 , - 6

`x_2 , y_2` = - 2 , 6

The graph so plotted as shown . Answer