Determine the slope andy-intercept of the line 4x + 7y + 5 = 0

To find the slope and y-intercept of the line 4x + 7y + 5 = 0, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

Step 1: Rearrange the equation We start by subtracting 4x from both sides of the equation to isolate the y term:

7y = -4x - 5

Then, we divide every term by 7 to solve for y:

y = -4/7x - 5/7

Step 2: Identify the slope and y-intercept Now that the equation is in slope-intercept form, we can easily identify the slope and y-intercept:

The slope (m) is -4/7, and the y-intercept (b) is -5/7.