Question

The equations of four lines are given below.

Answer 1

The linear equations that pass through the point (2, 9) are lines A and D.

Which lines go through the point (2, 9)?

Here we have the 4 linear equations:

• Line A: y = 4x + 1
• Line B: y + 2x = 8
• Line C: y = 9 − 2x
• Line D: y − 3x = 3

To see which lines go through the point (2, 9), we need to replace x by 2 and y by 9 in all of these equations, and see which ones are true.

A) y = 4x + 1

9 = 4*2 + 1

9 = 9

This is true, so line A passes through (2, 9)

B) y + 2x = 8

9 + 2*2 = 8

13 = 8

This is false.

C) y = 9 − 2x

9 = 9 - 2*2

9 = 5

This is false

D) y − 3x = 3

9 - 3*2 = 3

9 - 6 = 3

3 = 3

This is true, so line D goes through (2, 9)

The correct options are lines A and D.

Learn more about linear equations:

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