Question

What is the slope-intercept form of y + 6 = 2(x + 2)?

Question 3 options:

a)

y = 2x – 2


b)

y = 2x – 6


c)

2x – y = 6


d)

y = 2x + 6

Answer 1

Option a is the correct answer

Explanation:

The slope intercept form of an equation is defined as

y = mx + c where

m= the slope of the equation. The slope would be determined by (change in the value of y on the vertical axis) /

(change in the value of x on the horizontal axis)

From the equation given,

y + 6 = 2(x + 2)

We would rearrange this equation so that it will conform with the slope intercept form , y = mx + c as stated earlier.

Opening the brackets,

y + 6 = 2x + 4

Subtracting 6 from both sides of the equation,

y + 6 - 6 = 2x + 4 - 6

y = 2x -2

Comparing with y= mx + c,

The y-intercept is -2

The slope = 2