SOLUTION: Determine whether each is a linear function or not. Identify the degree of the function, slope and y-intercept. 1. f(x)=-6x-7 2. f(x)=3 3. f(x)=x-4 4. f(x)=5x-3 Thank you

Algebra ->  Linear-equations -> SOLUTION: Determine whether each is a linear function or not. Identify the degree of the function, slope and y-intercept. 1. f(x)=-6x-7 2. f(x)=3 3. f(x)=x-4 4. f(x)=5x-3 Thank you      Log On


   



Question 1181539: Determine whether each is a linear function or not. Identify the degree of the function, slope and y-intercept.
1. f(x)=-6x-7
2. f(x)=3
3. f(x)=x-4
4. f(x)=5x-3
Thank you.

Found 3 solutions by Boreal, ikleyn, MathLover1:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
These are all linear functions of the form y=mx+b
for 1 the slope is 6 and the intercept -7. The degree is 1
for 2 the slope is 0 and the intercept 3. The degree is 0
for 3 the slope is 1 and the intercept -4, the degree is 1
for 4 the slope is 5 and the intercept is -3, the degree is 1

Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.

A correction to the post by @Boreal:

            For  1,   the slope is   -6.



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero+or one.
A linear function has the following form:
+y+=+f%28x%29+=+mx%2B+b where m is a slope and b is y-intercept
A linear function has one independent variable and one dependent variable.
The independent variable is x and the dependent variable is y.



1. f%28x%29=-6x-7
is a linear function
degree: 1
slope:-6
y-intercept:-7
2. f%28x%29=3=> a horizontal line
is a linear function
degree: 0
slope:0
y-intercept:3

3. f%28x%29=x-4
is a linear function
degree: 1
slope:1
y-intercept:-4
4.+f%28x%29=5x-3
is a linear function
degree: 1
slope:5
y-intercept:-3