Question

A line passes through (2, 8) and (4, 12). Which equation best represents the line? y = 1 over 2 x 6 y = 2x 7 y = 2x 4 y = 1 over 2 x 10.

Answer 1

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

Given information-

The point through which the line passes are (2, 8) and (4, 12).

To find the equation of the line, the standard form of the equation of the line must be obtained.

Equation of the line

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

The standard form of the equation of the line can be given as,

$(y-y_1)=\dfrac{y_2-y_1}{x_2-x_1} (x-x_1)$

Where $(x_1,y_1)$ and $(x_2,y_2)$ are the points through which the line passes.

Thus the equation of the line which passes through the points (2, 8) and (4, 12) can be given as,

$(y-8) &=\dfrac{12-8}{4-2} (x-2)\\(y-8) &=\dfrac{4}{2} (x-2)\\2y-16 &=4x-8\\2y &=4x-8+16$

Divide by 2 both the side,

$y=2x-4$

Thus the equation of the line which passes through the points (2, 8) and (4, 12) is,

$y=2x-4$

Hence the option 3 is the correct option.

Learn more about the equation of the line here;

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