Question

Find the scope by counting

Answer 1

Answer:

-6

Step-by-step explanation:

to find slope by counting you just count rise over run

to get from (1,-4) to (0,2) you must go up 6 and back 1

6/-1 (negative cause you went back)

Answer 2

Answer:

Step-by-step explanation:

How is the slope (or gradient) usually found?

$m = \frac{\Delta y}{\Delta x}$

In other words, this means that the slope is found by dividing the change in y by the change in x.

How many units change in regards to y? We can count! Let's start counting from the y-intercept (the red dot that on the y-axis). 2,1,0,-1,-2,-3,-4. We counted -6 since we went down.

Now let's count the change in x, if we start from the y-intercept once more, how many units do we have to move to get to the second red dot? Well that's 1!  We only have to move one square to the right to get to the second red dot.

Let's plug this into the equation I stated at the start of this answer

$m = \frac{-6}{1}$

And we know that $\frac{-6}{1}$ is just equal to -6.

Therefore, the slope of this line is -6!

Good luck!