Question

A line with a slope of 3/4 contains the point (2,3). Find a second point on the line.(6,6)(6,0)(2.75,3)(2,3.75)

Answer 1

slope = y₂ -y₁ / x₂ - x₁

Let the given points be x₁ = 2 and y₁=3

slope = 3/4

substituting into the formula;

3/4 = y₂ - 3 / x₂ - 2

Which implies;

y₂ - 3 / x₂ - 2 = 3/4

Now let's plug in the point to see whether it satisfy the equation

Let's start with (6,6)

Plugging the above into the equation;

6 - 3 / 6 - 2 = 3/4

It satisfies the equation, hence (6,6) is the second point of the line