Semester #1 Practice Final (Part 2) (IM1) 23-24

Front

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

Back

The point-slope form of a linear equation is given by: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you determine if a mapping is a function?

Back

A mapping is a function if each input (x-value) is associated with exactly one output (y-value). If any input is associated with more than one output, it is not a function.

Front

What are the x- and y-intercepts of the equation 2x + y = 6?

Back

The x-intercept is (3, 0) and the y-intercept is (0, 6).

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Convert the equation y = 1/4 x + 4 to standard form.

Back

The standard form is x - 4y = -16.

Front

What does it mean for a line to be parallel to another line?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for a line to be perpendicular to another line?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

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

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.