Question

How do you graph -1/5x-1 and 4/5x-6

Answer 1

The points for the given to linear equations is (5 , - 2) and (5 , - 1)

The points is plotted on the graph shown .

Explanation:

Given as :

The two linear equation are

y =
`(-1)/(5)`x - 1 ...........1

y =
`(4)/(5)`x - 6 ...........2

Now, Solving both the linear equations

Put the value of y from eq 2 into eq 1

I.e
`(4)/(5)`x - 6 =
`(-1)/(5)`x - 1

Or,
`(4)/(5)`x +
`(1)/(5)`x = 6 - 1

Or,
`(4 + 1)/(5)`x = 5

or,
`(5)/(5)`x = 5

∴ x = 5

Now, Put the value of x in eq 1

So, y =
`(-1)/(5)`x - 1

Or, y =
`(-1)/(5)`× 5 - 1

or, y =
`(-5)/(5)` - 1

Or, y = - 1 - 1

I.e y = -2

So, For x = 5 , y = - 2

Point is (
`x_1` ,
`y_1`) = (5 , - 2)

Again , put the value of x in eq 2

So, y =
`(4)/(5)`x - 6

Or, y =
`(4)/(5)`× 5 - 6

Or, y =
`(4* 5)/(5)` - 6

Or, y = 4 - 6

I.e y = - 2

So, For x = 5 , y = - 2

Point is (
`x_2` ,
`y_2`) = (5 , - 2)

Hence, The points for the given to linear equations is (5 , - 2) and (5 , - 2)

The points is plotted on the graph shown . Answer