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Write the equation of the line that passes through the points (3, 6) and (5, 18) using function notation.
A) f(x)= 2x +12

B) f(x)= 6x - 12

C) y= 2x + 12

D) y= 6x - 12

Respuesta :

nasir381214
the answer is b ( f(x)=6x-12) we know this because we can substitute the x values 3 and 5 and the range is in fact 6 and 18 respectively. Hope this helps :)

The equation of the line that passes through the points (3, 6) and (5, 18) using function notation is f(x)=6x-12. Thus, the correct option is B.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope of the line is,

Slope, m = (18-6)/(5-3) = 12/2 = 6

Substitute one of the point in the equation of the line,

18 = 6(5) + C

18 = 30 + C

C= -12

Hence, the equation of the line that passes through the points (3, 6) and (5, 18) using function notation is f(x)=6x-12. Thus, the correct option is B.

Learn more about Equation of Line:

https://brainly.com/question/21511618

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