math help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

## slope 2 goes through (1, -4)

Tutors, please sign in to answer this question.

# 2 Answers

Use point-slope formula:

y - y1 = m(x - x1)

y - (-4) = 2 (x - 1)

y + 4 = 2x - 2

y = 2x - 6

point-slope form is: **y = mx + b**

We're given the slope, m = 2, so:** y = 2x + b**

We're also given it goes through (**1**,
**-4**) and those are** x** and
**y**, since points are given as (x, y).

Replace the **y** and** x** in:

**y = 2x + b **with
**-4** and **1**:

**-4 = 2(1) + b
**subtract 2 from sides

**-4 - 2 = 2(1) + b - 2**

**-6 = b**

Now we know b is -6, can finish the equation **y = 2x + b** as

**y = 2x - 6 **