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 5x - 3y = 30

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Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

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Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}}$

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If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$\large {\boxed{y - y_1 = m ( x - x_1 )}}$

Let us tackle the problem.

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This problem is about Equation of Linear Functions

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

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Let:

( 3 , -5 ) → ( x₁ , y₁ )

( 6 , 0 ) → ( x₂ , y₂ )

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$m = ( y_2 - y_1 ) \div ( x_2 - x_1 )$

$m = ( 0 - (-5) ) \div ( 6 - 3 )$

$m = 5 \div 3$

$m = \frac{5}{3}$

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$( y - y_1 ) = m ( x - x_1 )$

$( y - (-5) ) = \frac{5}{3} ( x - 3 )$

$y + 5 = \frac{5}{3} ( x - 3 )$

$3 ( y + 5 ) = 5 ( x - 3 )$

$3y + 15 = 5x - 15$

$5x - 3y = 15 + 15$

$5x - 3y = 30$

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Learn more

• Infinite Number of Solutions : https://brainly.com/question/5450548
• System of Equations : https://brainly.com/question/1995493
• System of Linear equations : https://brainly.com/question/3291576

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

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Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

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Answer 2

Answer:its b E2020

Step-by-step explanation:

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