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 \(\dfrac{x}{a}+\dfrac{y}{b}=c\) which is the line-intercept form.
where \(a\) is x intercept and \(b\) 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
\(m=\dfrac{\Delta y}{\Delta x}\)
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
\(m=\dfrac{\Delta y}{0}=\infty\)
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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