Question

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

Answer 1

Answer:

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

The points is plotted on the graph shown .

Step-by-step explanation:

Given as :

The two linear equation are

y = $\dfrac{-1}{5}$x - 1                  ...........1

y = $\dfrac{4}{5}$x - 6                  ...........2

Now, Solving both the linear equations

Put the value of y from eq 2 into eq 1

I.e  $\dfrac{4}{5}$x - 6 = $\dfrac{-1}{5}$x - 1

Or, $\dfrac{4}{5}$x + $\dfrac{1}{5}$x  = 6 - 1

Or,  $\dfrac{4 + 1}{5}$x = 5

or, $\dfrac{5}{5}$x = 5

∴ x = 5

Now, Put the value of x in eq 1

So, y = $\dfrac{-1}{5}$x - 1      

Or, y = $\dfrac{-1}{5}$× 5 - 1              

or,  y = $\dfrac{-5}{5}$ - 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 = $\dfrac{4}{5}$x - 6

Or, y = $\dfrac{4}{5}$× 5 - 6

Or, y = $\frac{4\times 5}{5}$ - 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