Unit 3 Catch Up

Front

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

Back

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

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

What is a solution to a linear equation?

Back

A solution to a linear equation is a pair of values (x, y) that makes the equation true when substituted into it.

Front

How can you determine if a point is a solution to a linear equation?

Back

To determine if a point (x, y) is a solution, substitute x and y into the equation and check if both sides are equal.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves; a positive slope means the line rises, while a negative slope means it falls.

Front

How do you write a linear equation from a graph?

Back

To write a linear equation from a graph, identify the slope (rise over run) and the y-intercept, then use the slope-intercept form y = mx + b.

Front

What is the formula to calculate the total cost in a linear cost equation?

Back

The total cost can be calculated using the equation y = mx + b, where m is the cost per item, x is the number of items, and b is any fixed cost.

Front

What does the equation x = 2 represent graphically?

Back

The equation x = 2 represents a vertical line that crosses the x-axis at the point (2, 0).

Front

What is the difference between a linear equation and a non-linear equation?

Back

A linear equation graphs as a straight line and has a constant slope, while a non-linear equation graphs as a curve and has a variable slope.