Question

What is the slope of the line represented by 9x - 14y = 28?

Answer 1

The slope of the line is
`\displaystyle (9)/(14)`.

Explanation:

We are given the line in standard form:

`9x - 14y = 28`

We need to get this into slope-intercept form in order to determine the slope of the line.

Slope-intercept form is
`y = mx + b`, where m is our slope and b is the y-intercept.

Therefore, we need to get:

• 
  `9x - 14y = 28`

converted to:

• 
  `y = mx +b`.

`\displaystyle 9x - 14y = 28\\\\-14y = -9x + 28\\\\(-14y)/(-14)=(-9x+28)/(-14)\\\\y = (9)/(14)x-2`

Therefore, by solving the equation in slope-intercept form, we see that m equals 9/14, so our slope is
`\displaystyle (9)/(14)`.