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

Hi Alyssa :

3y - 5x = -30 or

y - (5/3)x = -10

You can use slope intercept form to find this since you are given two points

y = mx +b

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

y=(5/3)x + b

Solve for b use a set of the coordinates

-5 = (5/3)(3)+b

-5 = 5 + b

-5-5 = b

-10 =b

Slope Intercept form is

y =(5/3)x - 10

Standard form is

y - (5/3)x = -10

To clear the denominator we can multiply the entire equation by 3

3y - 5x = -30

There are other ways to approach the problem and I hope this one helps.