Question

Consider the graph.

A) What is the slope?

m = ?

B) What is the ordered pair of the red point?

C) Use your answers from parts A and B to complete the equation:

y ? = ?(x ?)


Options for Part A:
1/5
-1/5
5
-5

Options for Part B:
(4, 6)
(6, 4)
(9, 5)
(5, 9)

Options for Part C:
+ 5
- 5
+ 9
- 9

1/5
-1/5
5
-5

Answer 1

Part A: -1/5
Part B: (4,6)
Part C: ?

Explanation:

Slope is m = -1/5.

First, get ordered pairs of the two indicated points. Blue(4,6) and Red(9,5).

Sub that into m = (y2-y1) / (x2-x1)

You get -1/5. That is your slope.

Then for part B, identify the location on the x and y on the graph (Red point). It's (4,6) because ordered pairs are (x,y).

Finally, for part C, I'm not sure why the options are just numbers, but if it's asking for the full equation, it's y = -1/5x +6⅘ . You find this by subbing m = -1/5 and b = 6⅘ (I'll explain how you get b in a second) into slope y-intercept form, y = mx + b.

To get b, take one of your coordinates and sub into y = -1/5x + b. I used (4,6). From this, x = 4, y = 6, and after subbing that in, you get b = 6⅘.