Answer:
-4/7
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.