Question

Write in slope-intercept form an equation of the line that passes through the given points.

(2, 4), (3, 6)

(Please write process so i can learn ty)

Answer 1

y = 2x

Explanation:

Let's first find the slope:

m = (y₂ - y₁)/(x₂ - x₁)

m = (6 - 4)/(3 - 2) = 2/1 = 2

Now let's use point-slope form:

y - y₁ = m(x - x₁)

(For x₁ and y₁, you can use either (2,4) or (3,6), but I'm gonna use (2,4))

y - 4 = 2(x - 2)

y - 4 = 2x - 4

y = 2x

That's your answer.

Hope this helps, and hope you learned something!