Agraph of a function must be linear if it has what characteristics

what makes a graph linear:

• it's a straight line

• has a constant rate of change (slope)

• and of course it runs once through the y axis.

Hello!

The graph of a function is linear is the function in it is a linear function.

A linear function is a function of the form f(x) = ax + b, where a is the slope and b is the x-intercept, both real numbers and constants.

In this case f(x) = y, and in your graph you put the pair (x,y), where the relation between y and x is a linear relation, and its represented by a linear graph.

  It has a constant slope.

Step-by-step explanation:

A linear function graphs as a straight line. It will have a constant rate of change.

It has a constant slope.

D. It has a constant slope.

Step-by-step explanation:

We have to find the characteristic which states that the graph of a function must be linear.

The four characteristics given in the question are;

A. It passes through the origin

B. It crosses the x-axis more than once.

C. It crosses the y-axis exactly once

D. It has a constant slope.

If we consider the first characteristic that it passes through the origin , then the graph of a function will not be linear because it will contain two variables.

If we consider the second characteristic that it crosses the x-axis more than once , then the graph of a function will not be linear because it will then be a parabola or a curve function and will not have a linear function.

If we consider the third characteristic that it crosses the y-axis exactly once , then the graph of a function will not be linear because it may cross the x-axis twice.

If we consider the fourth characteristic that it has a constant slope , then the graph of a function will be linear because it will not change it's form and will have a constant slope linear function.

If it increases by the same amount as x increases by 1.
If it has a constant slope and y-intercept.
If it only increases or decreases.
If x and go to infinity and negative infinity.
If y can go to infinity and negative infinity.

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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.

Step-by-step explanation:

Only linear functions have a constant slope.

The answer is D. It has a constant slope.

The graph of a function is linear of the graph is a straight line.

Step-by-step explanation:

The only characteristic that is true of a linear equation is "constant slope."