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

We have points C (3, -5) and D (6, 0).

First, we need to find the slope using the equation: m = y2-y1/x2-x1

If we plug in our points, we will get: m = 0-(-5)/6-3 = 5/2

Next, use the point-slope formula to simplify our answer:

(y-y1) = m(x-x1)

Pick a point, C or D, and plug it into the equation with the slope we found (here, we will use point D):

(y-0) = 5/2(x-6)

y = 5/2x - 30/2

y = 5/2x - 15

Now, change the equation into standard form:

y = 5/2x - 15

0 = 5/2x - y - 15

15 = 5/2x - y

Now, rearrange the equation:

5/2x - y = 15

The equation of line CD in standard form is:

5/2x - y = 15

Answer 2

The equation you need is -5/(3-6)=y/(x-6)...but you need to simplify it and write in standard form for which you may need to consult your textbook.