4.2 Day 2 Slope-Intercept Form

Front

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

Back

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

Front

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

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

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

Back

In the equation y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 1/2x + 3?

Back

The slope of the line is 1/2.

Front

How do you graph the equation y = -3?

Back

To graph y = -3, draw a horizontal line that crosses the y-axis at -3.

Front

What is the slope of the line represented by the equation y = -2x + 1?

Back

The slope of the line is -2.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

How can you determine if a line is horizontal or vertical from its equation?

Back

A horizontal line has the form y = b (constant), while a vertical line has the form x = a (constant).