Which of the following statements are true about the slope of a line? choose all that apply.

you cannot determine the slope of a line from the equation of the line.

slope can be determined by looking at the vertical change and horizontal change on the graph.

the slope of a non-vertical line is equal to the rate of change of the linear function.

the slope of a line is equal to the y-intercept of the linear function.

the slope of a vertical line is 0.

a vertical line has no slope

The true statements need to identified from the given statements.

True.

True.

True.

False.

False.

True.

You cannot determine the slope of a line from the equation of the line.

A line can have various forms.

One form of a line is which is the line-intercept form.

where is x intercept and is the y intercept.

So, the slope cannot be known from any equation of a line.

The statement is true.

Slope can be determined by looking at the vertical change and horizontal change on the graph.

Slope is given by

This means slope is the ratio of change in y to the change in x.

The statement is true.

The slope of a non-vertical line is equal to the rate of change of the linear function.

The rate of change of the linear function is called the slope.

The statement is true.

The slope of a line is equal to the y-intercept of the linear function.

y intercept is the point on the y axis where the line passes through.

So, slope cannot be determined.

The statement is false.

The slope of a vertical line is 0.

Slope of vertical line is given

This means slope of a vertical line is undefined and is not 0.

The statement is false.

A vertical line has no slope

As explained above the slope of a vertical line is undefined.

So, it can be said that a vertical line has no slope.

The statement is true.

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true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

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step-by-step explanation: