-4x = 7y + 13
Find the slope of the line

-4/7

Step-by-step explanation:

The first step of this problem would be changing the format of the equation so that it fits into slope-intercept form.

-4x = 7y + 13

-4x -7y = 13        (subtract 7y from both sides)

-7y = 4x + 13      (add 4x to both sides)

7y = -4x -13        (divide both sides by -1)

y = -4/7x - 13/7  (divide both sides by 7)

Now that it is in slope-intercept form, finding the slope is simple as long as you know what to look for.

Remember that y is simply a variable, just because it is at the beginning of the equation does not mean -4/7x - 13/7 is the answer. The question is asking specifically for the slope of the line. Slope in this equation is m. If y = mx + b, then m = -4/7.

The slope of the line is -4/7.

correct answers below: