CH 4 Alg1 Review for Test

Front

What is the definition of slope in a linear equation?

Back

The slope of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

How do you determine if a slope is positive or negative?

Back

A slope is positive if the line rises from left to right, indicating that as x increases, y also increases. A slope is negative if the line falls from left to right, indicating that as x increases, y decreases.

Front

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

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, regardless of their y-intercepts.

Front

What is the y-intercept of the equation y = 2x + 3?

Back

The y-intercept of the equation y = 2x + 3 is 3, which is the point where the line crosses the y-axis.

Front

How can you find the solution to a linear equation?

Back

To find the solution to a linear equation, you can substitute values for x and solve for y, or vice versa. The solution is the ordered pair (x, y) that satisfies the equation.

Front

What is an ordered pair in the context of a linear equation?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on the Cartesian coordinate plane, where x is the value on the horizontal axis and y is the value on the vertical axis.

Front

How do you evaluate a function at a given value?

Back

To evaluate a function at a given value, substitute the value into the function's equation and simplify to find the output.

Front

What is the significance of the coefficient of x in a linear equation?

Back

The coefficient of x in a linear equation represents the slope of the line. It indicates how much y changes for a unit change in x.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for finding the slope (m) between two points is m = (y2 - y1) / (x2 - x1).