Day 67 - 8.PFA.3: Slope and y-intercept from a graph

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the variable 'b' in the slope-intercept form of a linear equation, y = mx + b.

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 does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it does not have a defined slope because the x-value does not change.

Front

How do you find the slope of a line from a graph?

Back

To find the slope, select two points on the line, calculate the rise (change in y) and run (change in x), and use the formula: slope = rise/run.

Front

What is the formula for slope-intercept form?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of -5/4, what does this tell you about its direction?

Back

A slope of -5/4 indicates that the line falls steeply from left to right.

Front

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

Back

The y-intercept represents the value of y when x is zero, providing a starting point for the line on the graph.

Front

How can you determine if a slope is positive, negative, zero, or undefined from a graph?

Back

Observe the direction of the line: if it rises, the slope is positive; if it falls, the slope is negative; if it is horizontal, the slope is zero; if it is vertical, the slope is undefined.