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

Answer:

5x - 3y = 30

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:

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

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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 $Ax+By=C$:

$y=\dfrac{5}{3}(x-6)$       multiply both sides by 3

$3y=5(x-6)$            use the distributive property

$3y=5x-30$       subtract 5x from both sides

$-5x+3y=-30$          change the signs

$5x-3y=30$

Answer 2

Answer:

5x-3y=30

Step-by-step explanation:

took the unit test yall and got it right.