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, represented as 'b' in the equation y = mx + b.

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, indicating the steepness and direction of the line.

Front

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

Back

The slope is calculated by taking the rise (change in y) over the run (change in x) between two points on the line.

Front

What is the formula for slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

Front

If a line has a slope of 4, what does this mean?

Back

A slope of 4 means that for every 1 unit increase in x, the value of y increases by 4 units.

Front

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

Back

The y-intercept indicates the starting value of y when x is 0, providing a reference point for the line.

Front

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

Back

The y-intercept can be identified as the point where the line intersects the y-axis.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, meaning there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in x is 0.