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weqwewe [10]
4 years ago
9

Line CD passes through points C(3.-5) and D(6.0). What is the equation of line CD in standard form?

Mathematics
2 answers:
Lapatulllka [165]4 years ago
8 0

Answer:

<h2>5x - 3y = 30</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

=====================================

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

Substitute:

m=\dfrac{0-(-5)}{6-3}=\dfrac{5}{3}

use (6, 0):

y-0=\dfrac{5}{3}(x-6)

Convert to the standard form Ax+By=C:

y=\dfrac{5}{3}(x-6)       <em>multiply both sides by 3</em>

3y=5(x-6)            <em>use the distributive property</em>

3y=5x-30       <em>subtract 5x from both sides</em>

-5x+3y=-30          <em>change the signs</em>

5x-3y=30

artcher [175]4 years ago
4 0

Answer:

5x-3y=30

Step-by-step explanation:

took the unit test yall and got it right.

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