Write an equation of the line passing through the points (2,-3) and (3,-1) in point slope form

Answer 1

Greetings! Lets solve this shall we ?

So, we must find an equation of a line in point slope form using two points such that we must find the slope first. Then,

m = (-1-(-3)) / (3-2) = 2 / 1 = 2

y - y1 = m(x - x1)

y -(-3) = 2(x - 2)

y + 3 = 2(x-2)

I hope this helped!

Answer 2

Hi Hannah, to solve this problem, first find the slope of the line. The use the point-slope equation to find the line.

Slope:

(y₂ - y₁)

m = -----------

(x₂ - x₁)

It does not matter which point you use for the x₁ and y₁ and x₂ and y₂.

(-1 - (-3)) (-1 + 3) 2

m = ------------- = ---------- = -- = 2

(3 - 2) 1 1

Point-slope form:

y - y₁ = m * (x - x₁)

Again, it does not matter which point you pick.

Substituting:

m = 2

x₁ = 2

y₁ = -3

y - (-3) = 2 * (x - 2)

y + 3 = 2x - 4

Answer:

y + 3 = 2x - 4

Questions?