Question

Which is an equation of the line with slope –3 and passes through (2, –1)?

Question 2 options:

a)

3x + y = 5


b)

–3x + y = 5


c)

y = 5x – 3


d)

y = –3(x + 5)

Answer 1

a) 3x + y = 5

Explanation:

Insert the coordinates into the Point-Slope Formula FIRST, y - y₁ = m(x - x₁), with their CORRECT signs. Remember, in the Point-Slope Formula, all the negative symbols give the OPPOSITE term of what they really are. So, with that being stated, here is how you will set it up: y + 1 = -3(x - 2). After this [Distributive Property], convert to Slope-Intercept Form by moving "-1" to the right side of the equivalence symbol, resulting in y = -3x + 5. Go to your answer choices and see if this is there. No. So then, we try going from Slope-Intercept to Standard by moving "3x" to the left side of the equivalence symbol to end up with 3x + y = 5. This answer choice is found, there you are finished.