Graphing from slope-intercept form

Front

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

Back

The slope-intercept form is given by the equation 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, indicating how steep the line is and the direction it goes.

Front

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

Back

'b' represents the y-intercept, which is 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) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

How do you graph the equation y = -2x + 1?

Back

Start at the y-intercept (0, 1) and use the slope (-2) to find another point: go down 2 units and right 1 unit.

Front

What is the slope of the line represented by the equation y = 7?

Back

The slope is 0, indicating a horizontal line.

Front

What is the slope of the line represented by the equation x = -4?

Back

The slope is undefined, indicating a vertical line.

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) in their slope-intercept forms.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1 (m1 * m2 = -1).