Answer:
1) 1/4
2) 3/5
Step-by-step explanation:
1) The rate of change is basically the slope, and you can find the slope by doing:
change in y/change in x
I started with the point (0,-2) because it's on the line
It goes up 1 and left 4 to get to the second point on the line
So change in y/change in x = 1/4 (this is the rate of change)
2) This is basically the same thing, but you need to do some subtraction.
Change in y = -9-(-3) = -6
Change in x = -5 - 5 = -10
Change in y/change in x = 3/5 (this is the slope or rate of change)
Recognize that these are isosceles right triangles, so the legs are equal and the hypotenuse is √2 times the leg length.
1. x=9, y=9√2
3. x=20, y=20√2
What so you need to know?
Answer:
a) (1, 2) not on the graph.
b) (1, -1) is on the graph.
Step-by-step explanation:
Given the equation of the line as:

The points given are
a) (1, 2)
To determine whether it is on the graph of the line or not.
To do so, we can do 2 things:
1. Draw the graph and plot the point on the graph to check whether it is on the graph or not.
2. To put the point in the given equation of the line, whether the equation is satisfied or not.
For method 1: Kindly refer to the attached image of the line and point plotted.
Method 2:
Let us put
in the Left Hand Side (LHS) of equation.

(1, 2) Not on the graph.
(b) (1, -1)
For method 1: Kindly refer to the attached image of the line and point plotted.
Method 2:
Let us put
in the Left Hand Side (LHS) of equation.

(1, -1) is on the graph.