Question

Choose the equation that represents the line passing through the point (2, - 5) with a slope of −3.

Answer 1

Answer:

y = -3x + 1

Step by step (I hope I don't confuse you):

1. First, look for the equation that has a slope of -3. In this case, it's all of them because they all have -3 before the x value.

2. Then look for what's given:

• The y of (2, -5) is negative.
• If the x is 2, that means that the slope has moved down 3 units twice. (-3 is the slope. -3 x 2 is -6.)

3. Now see what equation will have -5 when you subtract 6 from it's y intercept.

• y = 3x + 11. 11 - 6 is 5, not -5. this one is wrong.
• y = 3x - 13. -13 - 6 is -19, also incorrect.
• y = 3x + 1. 1 - 6 is -5, so this is the correct answer.

Hope you found this helpful.