Respuesta :

Y = 3x + b
9 = 3(6) + b
9 = 18 + b, b = -9
Y = 3x - 9

The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]


We have:

A line with a slope of 3 passes through the point (6,9).

m = 3

The line equation:

y = mx + c

y = 3x + c

9 = 3(6) + c

c = -9

y = 3x - 9

Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

Learn more about the straight line here:

brainly.com/question/3493733

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