Question

Choose the most convenient method to graph the line x - y = 5.

Answer 1

The most convenient method I would choose is slope-intercept form, which is y=mx+b. So, make this equation equal in terms of y.

x-y=5
subtract x from both sides
-y = 5 - x
multiply both sides by -1 so y isn't negative
y = 5 + x
5 +x is the same thing as x+5, so
y = x+5

Now, you can easily sub in any number for x and you can easily get y. Here are some points you can plot:

(0, 5), (1, 6), (2, 7), (3, 8) and the list goes on. I hope this helped!

Answer 2

Explanation:

x - y = 5

Write in slope-intercept form: y = mx +b

-y = -x + 5

Multiply the entire equation by(-1)

y = x - 5

When x = 0 ; y = 0 - 5 = -5 ; (0,-5)

When x = 1 ; y = 1 - 5 = - 4 ; (1 , -4)

When x = 4 ; y = 4 - 5 = -1 ; (4 , -1)

When x = -1 ; y = -1 - 5 = - 6 ; (-1,-6)

Plot the points and join the points