Question

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01:05:35
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
O 5x - 3y = 30
O 5x2y = 30
O 5x + y = 18
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Answer 1

5x + 3y = 15

Explanation:

As Line CD passes through points C(3, 5) and D(6, 0), x (the "run") increases by 3 and y (the "rise") decreases by 5. Thus, the slope of line CD is

m = rise / run = -5/3, and in slope-intercept form the following is true:

y = mx + b => 5 = (-5/3)(3) + b, or b = 5.

Then the equation of the line is y = (-5/3)x + 5. Converting this to standard form, we get:

3y = -5x + 15, or 5x + 3y = 15