what ordered pairs are the solution of the line y − 2x = 6?

Question

math is my worst subject totally failing school currently any help would be appreciated... it is a multiple choice question with these choices.

(2, 2)

(0, -3)

(-3, 0)

(1, -3)

Answer 1

Rewrite the equation in slope-intercept form:

y=2x+6

Then try each of the choices (x,y)

y(2) = 4+6 = 10 (2,10) No

y(0) = 6 (0,6) No

y(-3) = -6 + 6 = 0 (-3,0) YES

y(1) = 2+6 = 8 (1,0) No

Answer 2

Hi Sophia M

From the list above

(-3,0) just this one and you can check by reading the info below or just graphing your line

y − 2x = 6?

You can put your line Slope Intercept form or you could test the given points by plugging them in

I will go with Slope Intercept Form so you can see how y varies with x

y = 2x + 6

This way you can quickly find the y and x intercepts and rule out some choices

Immediately we can see that (0,6) is the y intercept, not (0, -3)

If you set y equal to zero we get (-3,0) for the x intercept

You can use the x and y intercepts, plot your line on Desmos.com to confirm if any of the other points are present on the line.

I hope this helps