Question

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

5x + 3y = 18
5x – 3y = 30
5x – y = 30
5x + y = 18

Answer 1

Let's find the slope of this line using the principle of rise over run. The difference of the y-coordinates divided by the difference of the x-coordinates will yield the slope of the line. If we call the slope m, we have:

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

Now, let's use the slope-intercept form of the equation of a line, where b = the y-intercept. We can use either of the two given points as our values for x and y. Let's choose the second one.

y = mx + b

0 = (5/3)(6) + b

0 = (30/3) + b

0 = 10 + b

-10 = b

The equation of the line is y = (5/3)x - 10 in slope-intercept form.

Standard form is Ax + By = C

We can multiply both sides of the above equation of the line by 3.

3y = 5x - 30

3y + 30 = 5x

5x - 3y = 30

Answer 2

I hope this may help you