Question

What’s the equation for (1,3) and (2,5)

Answer 1

Y=2x +1 I believe so

Answer 2

y = 2x + 1

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 5)

m =
`(5-3)/(2-1)` = 2, thus

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 5), then

5 = 4 + c ⇒ c = 5 - 4 = 1

y = 2x + 1 ← equation of line