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

The equation of line CD in standard form is: B. 5x - 3y = 30

How to determine the equation of line CD in standard form?

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression (linear function);

y = mx + c

Where:

• x and y are the points.
• m represents the slope, gradient, or rate of change.
• c represents the intercept.

Next, we would determine the slope of this line by using this formula:

Slope, m = Δy/Δx

Slope, m = Change in y-axis/Change in x-axis

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

Slope, m = 5/3

At point (6, 0), the point-slope equation of the line is given by:

y - y₁ = m(x - x₁)

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

y = 5x/3 - 30/3

y = 5x/3 - 10

Multiplying all through by 3, we have:

3y = 5x - 30

Rearranging the equation, we have:

5x - 3y = 30

Read more on slope here: brainly.com/question/7748981

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Answer 2

Answer:

I believe its B. 5x – 3y = 30

Step-by-step explanation:

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