Part A
The graph passes through .
If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points.
Using and .
We obtain the slope to be
Using and .
We obtain the slope to be
.
Since the slope is not constant(the same) everywhere, the function is non-linear.
Part B
A linear function is of the form
where is the slope and is the y-intercept.
An example is
A linear function can also be of the form,
where and are constants.
An example is
A non linear function contains at least one of the following,
- Product of and
- Trigonometric function
- Exponential functions
- Logarithmic functions
- A degree which is not equal to or .
An example is or or etc
Answer:
Step-by-step explanation:
y + 9 = -5/2(x - 10)
y + 9 = -5/2x + 25
y = -5/2x + 16
Answer:
ab + cd-bd-ac = a(b-c)+d(c-b)
Step-by-step explanation:
ab+cd-bd-ac
Let us first bring the like terms together
Like terms are those terms which have same variables and same exponents also. Hence in this case we do not any like terms.
Hence we will take those two terms together which has atleast one same variable
ab and ac
cd and bd
ab-ac+cd-bd
now taking a as GCF in first two terms and d as GCF in last two terms
a(b-c)+d(c-b)
Answer:
4x-y=18
Step-by-step explanation:Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.
4
x
−
18
=
y
Move y to the left side of the equation because it contains a variable.
4
x
−
18
−
y
=
0
Move 18 to the right side of the equation because it does not contain a variable.
4
x
−
y
=
18
Answer:
Straight line graph with positive gradient (slope)
y-intercept: (0, -3)
x-intercept: (12, 0)
Step-by-step explanation:
is a linear function
The line intercepts the y-axis when x = 0:
Therefore, the y-intercept is (0, -3)
The line intercepts the x-axis when y = 0:
Therefore, the x-intercept is (12, 0)