What is the equation of the line that is perpendicular to the line y=-1/3x+5 and passes through the point (3,9)?

y = 3x  

Step-by-step explanation:

1) Identify the slope of the given equation. We can see that the y is isolated in the equation , so it is in slope-intercept form, or format. When an equation is in slope-intercept form, the , or the coefficient of the x-term, represents the slope, thus is the slope of the given equation. Lines that are perpendicular to each other have slopes that are opposite reciprocals, so the slope of the new line would be 3.  

2) Now, use the point-slope formula to write the equation of the new line. Substitute values for , , and in the formula.

Since represents the slope, substitute 3 for it. Since and represent the x and y values of a point the line intersects, substitute the x and y values of (3,9) for those places in the formula as well. Then, with the resulting equation, isolate y to find an answer in slope-intercept form:

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)