Question

Would the point (2,7) be on the line y = 2x +7

Answer 1

No

Explanation:

A point is on a line if that point satisfies the equation.

Testing Points

To test if the point (2,7) is on the line y = 2x + 7, we need to plug the point into the equation. For the coordinate pair (2,7), the x-value is 2 and the y-value is 7. So, plug 2 in for x and 7 in for y.

• 7 = 2(2) + 7

Then, simplify.

• 7 = 11

As you can see, 7 does not equal 11. Thus, point (2,7) cannot be a point on the given line.

Other Points

We can do this same test with other points such as (1,9). The x-value is 1 and the y-value is 9, so now we can plug them in.

• 9 = 2(1) + 7
• 9 = 9

Since 9 equals 9 is a true statement, the point (1,9) is a point on the given line.