Graphing Lines

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

How do you identify the slope from the equation y = 2x + 5?

Back

The slope is 2.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

What is the y-intercept of the equation y = -3x + 7?

Back

The y-intercept is 7.

Front

How can 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 slope of the line represented by the equation y = -x + 3?

Back

The slope is -1.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you write the equation of a line with a slope of 2/3 and a y-intercept of -3?

Back

The equation is y = (2/3)x - 3.

Front

What is the graph of y = -x + 3?

Back

The graph is a straight line that decreases from left to right, crossing the y-axis at (0, 3).