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

'm' represents the slope of the line.

Front

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

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

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

Back

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

Front

What is the y-intercept of the equation y = 3x + 2?

Back

The y-intercept is 2.

Front

How would you write the equation of a line with a slope of 1 and a y-intercept of 4?

Back

The equation is y = 1x + 4 or simply y = x + 4.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

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

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

How can you determine if two lines are parallel using their equations?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

Front

What is the slope of the line represented by the equation y = 0.5x - 1?

Back

The slope is 0.5.