8B CA#1 Review

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

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

Back

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

Front

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

Back

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

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change between two variables in a real-world context.

Front

What is the meaning of 'no solutions' in a linear equation?

Back

'No solutions' means that the equation represents parallel lines that never intersect.

Front

How can you represent a situation with a linear equation?

Back

You can represent a situation with a linear equation by identifying the variables and their relationships, then forming an equation.

Front

What is the rate of change in a linear relationship?

Back

The rate of change in a linear relationship is the slope, which indicates how much one variable changes in relation to another.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you determine the slope from two points on a line?

Back

The slope (m) can be determined using the formula m = (y2 - y1) / (x2 - x1) from two points (x1, y1) and (x2, y2).

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form y = mx + b.