What is the slope of the line represented by the equation 3x + 9y = 4?

by

The equation of the line given is 3x + 9y = 4. To find the slope of this line, we need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m represents the slope and b the y-intercept.

Let’s isolate y in the equation:

  1. Start with the original equation:
    2. 3x + 9y = 4
  2. Subtract 3x from both sides:
    3. 9y = 4 - 3x
  3. Now, divide every term by 9 to solve for y:
    4. y = rac{4}{9} - rac{3}{9}x

This can be simplified:

y = -rac{1}{3}x + rac{4}{9}

Now, looking at this equation in slope-intercept form, we see that the slope (m) is equal to -1/3.

Thus, the slope of the line 3x + 9y = 4 is -1/3.

Leave a Comment