Finding Slope and Y-intercept

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 (0, b) where b is the value of the y-coordinate.

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

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

Back

'b' represents the y-intercept of the line.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y=4x+3?

Back

The slope is 4.

Front

If a line has a slope of -3/2, what does this indicate about the line?

Back

A slope of -3/2 indicates that the line is decreasing, meaning it goes down as it moves from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line and using the rise over run method: slope = rise/run.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b.