Question

Is (3, -5) on the line y=-2x + 1? Show all of your work

Answer 1

(3, -5) is on the line y = -2x +1.

You can plug in the coordinates given into the equation.

As 3 would be x, and -5 would be y, we can substitute the x and y in the given equation and replace them with the given numbers.

Now the equation would be:
-5 = -2(3) + 1

We can simplify this:
-5 = -6 + 1
-5 = -5

Since we know that -5 is always equal to -5, we know that this equation is true. Therefore, (3, -5) is on the line y = -2x + 1.

Answer 2

If that point lies on the graph of y, then one side will equal each other.

Let x = 3 and y = -5

-5 = -2(3) + 1

-5 = -6 + 1

-5 = -5

The left side = the right side.

So, the given point lies on the given line.