24 - 25 FCMS A1 U3 CA TEST

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the equation of a line given a point and a slope?

Back

To find the equation of a line given a point (x₀, y₀) and a slope m, use the point-slope form: y - y₀ = m(x - x₀). You can then rearrange it to slope-intercept form (y = mx + b).

Front

What is the point-slope form of a linear equation?

Back

The point-slope form of a linear equation is given by y - y₀ = m(x - x₀), where (x₀, y₀) is a point on the line and m is the slope.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a point lies on a line represented by an equation?

Back

To determine if a point (x, y) lies on a line represented by an equation, substitute the x-value into the equation and see if the resulting y-value matches the y-value of the point.

Front

What does it mean for a line to have a negative slope?

Back

A line with a negative slope decreases as it moves from left to right, indicating that as x increases, y decreases.

Front

What is the definition of the domain of a relation?

Back

The domain of a relation is the set of all possible input values (x-values) for which the relation is defined.

Front

What is the definition of the range of a relation?

Back

The range of a relation is the set of all possible output values (y-values) that result from the input values in the domain.

Front

How do you find the domain of a function from a graph?

Back

To find the domain of a function from a graph, identify all the x-values for which there are corresponding y-values.

Front

How do you find the range of a function from a graph?

Back

To find the range of a function from a graph, identify all the y-values that the function takes on for the given x-values.