So you correctly wrote that the slope is represented by
Δy/Δx. The Greek capital letter delta means "change in," so we are looking at the change in y divided by the change in x. You might also hear this called "rise over run," because change in y is the vertical change (rise) and change in x is the horizontal change (run).
Now, to find the change in y and x, we need to take two points,

and

. We can then find the slope, m, as below:

So, as we're asked to state the slope and the behavior of the graph. Generally, if you see that as x increases, y increases, then the slope is positive. If y decreases, then the slope is negative. If y stays the same (constant), then the slope is zero. If x is constant, then the slope is undefined. Unfortunately, this worksheet also asks us to calculate the slope. So the equation above comes in handy!
1) let's take x = -1, y = -5 and x = 0, y = 3. We can write

and

(we can choose either point to be

so long as we're consistent.

This is a positive (+) change.
2)

Negative (–).
3)

Positive (+).
4)

Positive (+).
5)

Negative (–).
The given expression is

Let's replace x = 7 and y = -2.

<h2>Therefore, the value of the expression is 20.</h2>
Answer: 1
explanation: the 1000 expands form
The width of his office on the floor plan is 2.5 in.
Solving <span>8x-5y=10 for y helps us to identify the y-intercept:
-5y = -8x + 10. Dividing both sides by -5, we get (8/5)x -2. Therefore, y = (8/5)x - 2; the y-intercept is (0,-2).
The equation </span><span>-6x-7y=-6 can be solved for its slope in the same manner.
7y = -6x + 6; then y = (-6/7)x + 6/7. Its slope is -7/6. A line perpendicular to this line has slope equal to the negative reciprocal of -7/6, which is 6/7.
So, using the slope-intercept form, y = mx + b becomes y = (6/7)x -2.</span>