(MCA) Test 3

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 slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) from the table and use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form (y = mx + b). It occurs when x = 0.

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as y = mx + b, where m is the slope and b is the y-intercept.

Front

Convert the equation 3x - 2y = 5 to slope-intercept form.

Back

To convert to slope-intercept form, solve for y: 2y = 3x - 5, then y = (3/2)x - (5/2). The slope is 3/2.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

How do you determine the slope from an equation in standard form?

Back

To find the slope from an equation in standard form (Ax + By = C), rearrange it to slope-intercept form (y = mx + b) and identify 'm'.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope of the line is 4.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept indicates the starting value of y when x is zero, providing a reference point for the graph.