Respuesta :

Answer:

[tex]x = \frac{1}{5}y + 2[/tex]     or       [tex]x = \frac{y+10}{5}[/tex]     (Not sure which one is preferred in your case)

Step-by-step explanation:

Key skills needed: Evaluating expressions

1) We are given: [tex]y = 5x-10[/tex]

2) To solve for the x variable, we want to leave the term with "x" by itself.

This means we add 10 to both sides

--> [tex]y + 10 = 5x[/tex] (Since -10 and +10 cancel out to make 0 or nothing)

3) Then we divide by 5 on both sides to get "x" completely by itself.

-----> [tex]\frac{y+10}{5} = x[/tex]

4) You can keep it as is so --> [tex]x = \frac{y + 10}{5}[/tex]

or you can divide "y" by 5 and "10" by 5 and get --> [tex]x = \frac{1}{5} y + 2[/tex]

(I am not sure which form is preferred one is preferred as the teacher matters)

Hope you understood and have a nice day!!

Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
5
5
y-intercept:

10
-
10
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.