Question

line cd passes through points c(3, –5) and d(6, 0). what is the equation of line cd in standard form? 5x 3y

Answer 1

The equation of the line CD that passes through points C(3 , -5) and D(6 , 0) is 5x - 3y - 30 = 0.

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The two-point form of the equation of a line can be used to form the equation of a line if two points are given.

$(y-y_{1} )=\frac{y_{2} -y_{1} }{x_{2} -x_{1}} (x-x_{1} )$

Substituting the values,

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

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

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

$3(y+5 )=5x -15$

$3y+15=5x -15$

$3y=5x-30$

Meanwhile, the standard form of equation of a line is ax + by + c = 0, where a and b are the coefficients, x and y are the variables, and c is the constant term.

5x - 3y - 30 = 0

For more example on equation of line, visit brainly.com/question/19417700.

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