Which equation represents a line that passes through (9, 3) and has a slope of 6?

To find the equation of a line given a point and the slope, we can use the point-slope form of the equation of a line, which is:

Y – Y₁ = m(X – X₁)

In this formula, (X₁, Y₁) is a point on the line (in this case, (9, 3)), and m is the slope of the line. Here, the slope (m) is 6.

Substituting in the values, we have:

Y – 3 = 6(X – 9)

Now, we can simplify the equation:

Y – 3 = 6X – 54

Adding 3 to both sides gives:

Y = 6X – 51

So, the equation of the line that passes through the point (9, 3) with a slope of 6 is:

Y = 6X – 51