WU 3.2C: X and Y Intercepts Practice

Front

What is the definition of the x-intercept in a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning the value of y is zero.

Front

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

Back

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

Front

What does a zero slope indicate about a line on a graph?

Back

A zero slope indicates that the line is horizontal and does not rise or fall as it moves along the x-axis.

Front

What does an undefined slope indicate about a line on a graph?

Back

An undefined slope indicates that the line is vertical and does not have a defined slope value.

Front

How can you determine 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 coordinates of the two points.

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 is zero.

Front

What is the general form of a linear equation?

Back

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

Front

How do you graph a linear equation using the slope-intercept form?

Back

To graph a linear equation in slope-intercept form (y = mx + b), start at the y-intercept (b) and use the slope (m) to find another point.

Front

What is the relationship between the slope and the angle of a line?

Back

The slope of a line is the tangent of the angle (θ) it makes with the positive x-axis, where slope = tan(θ).

Front

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

Back

A positive slope means that as x increases, y also increases, indicating an upward trend.