Lesson: Slope and Y-intercept from a graph

Front

What is the y-intercept of a line?

Back

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease. This means the line is slanting downwards from left to right.

Front

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

Back

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no change in the y-value as the x-value changes.

Front

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

Back

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase. This means the line is slanting upwards from left to right.

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept can be identified as the point where the line crosses the y-axis. It is the value of y when x = 0.

Front

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

Back

The slope represents the rate of change between two variables. For example, in a distance-time graph, the slope indicates speed.

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.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back