How do you write the point slope form of the equation given (12,5) and m=-3?

2 Answers
Mar 20, 2017

y-5=-3(x-12)

Explanation:

The point-slope form of the equation of the line is usually written in formula form as y-y_1=m(x-x_1)

To find a specific line, replace the m with the value for the slope, here m = -3, and the coordinates of the point using the given coordinates, (x_1,y_1)=(12,5).

Usually the brackets are removed and the equation rearranged.

Mar 20, 2017

y=-3x+41

Explanation:

The slope form is:
y=mx+b
m is already given:
y=(-3)x+b
Since you know one solution to the equation, you can put those x and y values into the equation to solve for b:
(5)=-3(12)+b
Multiply 12 and -3:
5=-36+b
Add 36 to both sides:
36+5=b
41=b
Substitute b into the slope formula and you're done:
y=-3x+41