Question

What is the equation of the line that passes through the point 4, -6 and has a slope of -3

Answer 1

Y = mx + b. Use this equation for most linear functions. Enter the information that is given to you.
$- 6 = - 3(4) + b$
Multiply the -3 and 4 to get 12.
$-6 = - 12 + b$
Now divide the -12 from both sides.
$\frac{ - 6}{ - 12} = \frac{ - 12}{ - 12} + b$
-12 cancels out on the right side and your left with
$- \frac {1}{2} = b$
Now re-enter the info back into the formula.
$y = - 3x - \frac{1}{2}$
Then you've got your formula