Question

Which of the following is the slope of the line with equation -7x=6+3y

Answer 1

Answer: Therefore the slope is
`-(7)/(3)`.

Explanation:

We can rewrite the equation -7x=6+3y in slope-intercept form y = mx + b, where the m is the slope of the line, and b is the y-intercept.

-7x = 6 + 3y

-6 -6

-7x - 6 = 3y

`(-7x)/(3)-(6)/(3) =(3y)/(3)`

`(-7)/(3)x-2 =y`

Therefore the slope is
`-(7)/(3)`.

Answer 2

Slope = -7/3

Explanation:

-7x = 6 + 3y is in the standard form of a line, whose general equation is

Ax = C + By (it's sometimes written in terms of C and is Ax + By = C, but in this problem, it's written in terms of Ax).

We can find the slope of the line by converting from standard form to slope-intercept form, whose general equation is y = mx + b, where

• m is the slope,
• and b is the y-intercept.

Step 1: Subtract 6 from both sides:

(-7x = 6 + 3y) - 6

-7x - 6 = 3y

Step 2: Divide both sides by 3 to isolate y:

(-7x - 6 = 3y) / 3

-7/3x - 2 = y

Thus, the slope of the line is -7/3