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A linear function is expressed by a graph of a line that crosses both axes at the origin. An equation is written in slope-intercept form to express the same function as shown in the graph. From just this information, what statements can be made? Choose the true statements. The slope of the equation must be positive. The y-intercept of the equation is zero. It is possible that the line on the graph is horizontal. The slope of the equation must be negative.

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Answer:

The y-intercept of the equation is zero. It is possible that the line on the graph is horizontal.

Step-by-step explanation:

The equation is of the form:

y = mx

The y-intercept of the equation is zero.

y = 0 is also a possible equation

It is possible that the line on the graph is horizontal

The correct statements about the linear function are;

The y-intercept of the equation is zero.

It is possible that the line on the graph is horizontal.

What is the linear function?

The linear function can be represented as;

[tex]\rm y=mx+c[/tex]

A linear function is expressed by a graph of a line that crosses both axes at the origin.

An equation is written in slope-intercept form to express the same function as shown in the graph.

The y-intercept of a graph is the point where the graph intersects the y-axis.

We know that the x-coordinate of any point on the y-axis is 0.

So the x-coordinate of a y-intercept is 0.

The y-intercept is what y equals when x equals 0.

The y-intercept can always be written as (0,y).

If the y-intercept is 0, then that means the line passes through the point (0,0) which is also the origin.

So, if the y-intercept is 0, then that means the line passes through the origin.

The correct statements about the linear function are;

  • The y-intercept of the equation is zero.

  • It is possible that the line on the graph is horizontal.

Learn more about linear function here;

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