Day 2 Final Review: Graphing

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the slope of the line that passes through the points (3, 2) and (8, 10)?

Back

The slope is 8/5.

Front

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

Back

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

Front

How do you convert the equation 2x + 4y = 8 into slope-intercept form?

Back

First, subtract 2x from each side to isolate 4y: 4y = -2x + 8.

Front

What is the y-intercept of the equation y = -2x + 1?

Back

The y-intercept is 1, which is the value of y when x = 0.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the solution to the system of equations represented by the points (1, -1)?

Back

The solution is the point (1, -1), which satisfies both equations in the system.

Front

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

Back

Look for a line with a slope of -2 and a y-intercept of 1.