Question

Identify the slope of each line below.6x + 2y = 8

Answer 1

Given the equation:

6x + 2y = 8

Let's identify the slope.

To find the slope, apply the slop-intercept form:

y = mx + b

Where m is the slope.

Rewrite the given equation for y.

We have:

6x + 2y = 8

Subtract 6x from both sides:

6x - 6x + 2y = -6x + 8

2y = -6x + 8

Divde all terms by 2:

`\begin{gathered} (2y)/(2)=(-6x)/(2)+(8)/(2) \\ \\ y=-3x+4 \end{gathered}`

Thus, the equation in y-intercept form is:

y = -3x + 4

Compare the equation with the general slope-intercept form where m is the slope:

y = mx + b

y = -3x + 4

m = -3

Therefore, the slope of the given line is -3

ANSWER:

-3