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Line CD passes through points C(3,-5) and D(6, 0). What is the equation of the line?

Answer 1

Ethan Adkins

Equation of line CD is #color(brown)(y = (5/6)x - 15/2#

Equation of a line given two coordinates on the line is given by the formula

#(y - y_1)/ (y_2 - y_1) = (x - x_1) / (x_2 - x_1)#

Given #C (3, -5), D(6, 0)#

Hence, the equation is #(y - y_c) / (y_d - y_c) = (x - x_c) / (x_d - x_c)#

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

#(y + 5) / 5 = (x - 3) / 6#

#6(y + 5) = 5 (x - 3)# cross multiplying.

#6y + 30 = 5x - 15# Removing braces.

#6y = 5x - 15 - 30#

#6y = 5x - 45#

#y = (5(x - 9)) /6#

Equation of line CD is

#color(brown)(y = (5/6)x - 15/2# in the standard form #color(blue)(y = mx + c#

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Answer 2

Julia Adams

The equation of the line passing through points C(3, -5) and D(6, 0) is ( y = \frac{5}{3}x - 6 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.