what is the zero of the linear function graphed below

1) Zero

2) B. None

Step-by-step explanation: The slope of any horizontal or vertical straight line is always going to be zero because it stays constant.

There are no zeros of the linear function because it does not cross the x-axis.

1) Zero

2) B. None

Step-by-step explanation: The slope of any horizontal or vertical straight line is always going to be zero because it stays constant.

There are no zeros of the linear function because it does not cross the x-axis.

y(0) = 0

x(0) = 0

Step-by-step explanation:

This equation goes through the origin

Step-by-step explanation:

Remember that the line intersects the x-axis when .Therefore, the zero of a linear function is the value of the variable "x" when the value  of "y" is zero.

 The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

In this case, given the graph of the function,you can identify that the y-intercept is:

 By definition, the slope can be calculated with this formula:

Then, in order to find the slope, you can pick the points (4,2) and (-8,-1) and say that:

So, substituting these values into the formula, you get:

Then the linear function has this form:

Finally, in order to find the x-intercept, you can substitute into the function and solve for "x". This is:

If you're given a function, you replace f(x) or y with 0 and solve for x.

For example, y = 5x-10 is solved like so

y = 5x-10

0 = 5x-10

-5x = -10

x = -10/(-5)

x = 2

Showing that x = 2 is the root to y = 5x-10. The term "root" is the same as a solution or a zero of a function.

If you're given a graph, you look to where the graph crosses the x axis to find the roots. These locations are known as the x intercepts. The graph may cross the x axis or it might touch the axis and bounce back.

If you're given a table of values, you look for when y is equal to 0 in the table. Whatever x value(s) pairs with y = 0 is your answer(s). This backs up what was mentioned at the top of this solution.

y(0) = 0

x(0) = 0

Step-by-step explanation:

This equation goes through the origin

Step-by-step explanation:

Remember that the line intersects the x-axis when .Therefore, the zero of a linear function is the value of the variable "x" when the value  of "y" is zero.

 The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

In this case, given the graph of the function,you can identify that the y-intercept is:

 By definition, the slope can be calculated with this formula:

Then, in order to find the slope, you can pick the points (4,2) and (-8,-1) and say that:

So, substituting these values into the formula, you get:

Then the linear function has this form:

Finally, in order to find the x-intercept, you can substitute into the function and solve for "x". This is:

-5 =x

Step-by-step explanation:

f(x)=x+5

Set the function equal to zero

0 = x+5

Solve for x

-5 = x+5-5

-5 =x