# What linear function represents the line given by the point-slope equation y+1 = -3(x-5)?

Nov 3, 2017

$y = - 3 x + 14$

#### Explanation:

Multiply out the terms on the right, giving:

$y + 1 = - 3 x + 15$

Subtract 1 from both sides:

$y = - 3 x + 14$

...which I think is what you are after: y is now espressed as a function of x, and it's a linear equation in the form :

y = mx + b

...your slope is -3 and, at x = 0, the function evaluates to 14, which is your y intercept.

GOOD LUCK