Answer:
Question 1: The negative slope is line j.
Question 2: M's Slope is 1/2.
Step-by-step explanation:
Question 1:
Way 1:
The negative slope is line j because it moves from left to right where the y points decrease while x is increasing.
Way 2:
Finding the slope also finds if it has a negative or a positive slope.
Line j has points (-1,3) and (0,0).
To solve for slope, you have to do (y2-y1)/(x2-x1).
To substitute the values, it gets to (0-3)/(0-(-1)).
To simplify that, it gets to -3/(0+1) which equals to -3/1. -3/1 in other words is -3.
Since the slope is a negative number, it has a negative slope.
Question 2:
To find the slope of line m, you have to find two points first.
The two points there are is (4,2) and (0,0).
Then you have to use the equation (y2-y1)/(x2-x1).
Once you find the numbers, you plug it into the equation getting (0-2)/(0-4).
To simplify that it gets to -2/-4. That equals -1/-2 once simplifying the fraction.
Since there are negatives in both numerator and denominator, the negative sign gets removed and it becomes 1/2.
Therefore, the slope for line M is 1/2.
