Find Slope and Y-Intercept in Tables, Graphs, Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

To find the y-intercept of a linear equation in the form y = mx + b, identify the value of b, which is the point where the line crosses the y-axis.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

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

Back

The y-intercept is 2, which is the value of y when x = 0.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

How can you determine if a graph represents a linear function?

Back

A graph represents a linear function if it forms a straight line.

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept can represent the starting value of a situation, such as the initial amount of money before any changes occur.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope occurs in a vertical line, where the x-value does not change, leading to a division by zero in the slope formula.