The graph of a function must be linear if it has what characteristic?
2 answers:
Answer:
Slope of linear graph function will be constant.
Step-by-step explanation:
Linear function graph:The equation of linear graph function is given by
The degree of linear graph function is one.
Differentiate w.r.t x
Then, we get
Slope of linear function is m.m is constant.
Therefore, if a graph is graph of linear function then it will have constant slope m.
You might be interested in
<span>Question 2.2. Which ordered pairs make the inequality true?</span><span>2x + y > –4</span>The solutions are (-1, 2) and (1, -5), look at the graph in the attachment.
Question 3.3. What is the slope of the line represented by the equation?
There is no equation
Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?
Convert to slope-intercept form:
6x - 3y = 4
Subtract 6x to both sides:
-3y = -6x + 4
Divide -3 to both sides:
y = -6/-3x + 4/-3
Simplify:
y = 2x - 4/3
Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.
Question 5.5. What is the simplified form of the expression?
15y - 3(4y + 10)
Distribute -3 into the parenthesis:
15y - 12y - 30
Combine like terms:
3y - 30
Question 3.3. What is the slope of the line represented by the equation?
There is no equation
Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?
Convert to slope-intercept form:
6x - 3y = 4
Subtract 6x to both sides:
-3y = -6x + 4
Divide -3 to both sides:
y = -6/-3x + 4/-3
Simplify:
y = 2x - 4/3
Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.
Question 5.5. What is the simplified form of the expression?
15y - 3(4y + 10)
Distribute -3 into the parenthesis:
15y - 12y - 30
Combine like terms:
3y - 30