Please help with this question.

Question

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

Answer 1

To answer the question above, we can begin by finding the slope:

m = (y₂ - y₁) / (x₂ - x₁)

m = 0 - (-5) / 6 - 3

m = 5 / 3

Then we can find the standard form using the point-slope form:

y - y₁ = m (x - x₁)

Substitute the known values:

y - 0 = (5/3) (x - 6)

y = 5x/3 - 30/3

y = 5x/3 - 10

y + 10 = 5x/3

3y + 30 = 5x

3y - 5x = -30

=> 5x - 3y = 30