HW 1 - Ch 1.2 Homework 1(PC)

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) where b is the value of the function at x=0.

Front

If (4, -7) is on a graph that has x-axis symmetry, which ordered pair is also guaranteed to be on the graph?

Back

(4, 7) because x-axis symmetry means that for every point (x, y), there is a corresponding point (x, -y).

Front

What does it mean if the number in column B is greater?

Back

It means that the value represented in column B exceeds the value in column A.

Front

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

Back

The y-intercept indicates the starting value of the function when x is zero, providing insight into the behavior of the function.

Front

How do you determine the y-intercept from a linear equation in slope-intercept form?

Back

In the slope-intercept form y = mx + b, the y-intercept is the value of b.

Front

What is x-axis symmetry in a graph?

Back

A graph has x-axis symmetry if for every point (x, y) on the graph, the point (x, -y) is also on the graph.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

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

Back

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

Front

What does it mean if a line has a positive slope?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What does it mean if a line has a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.