Graphing 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

How do you identify the slope in the equation y = 3x?

Back

The slope (m) is the coefficient of x, which is 3 in this case.

Front

What does the y-intercept represent in the equation y = 3x?

Back

The y-intercept (b) is the point where the line crosses the y-axis. In this case, it is 0 since the equation can be rewritten as y = 3x + 0.

Front

How do you graph the equation y = 3x?

Back

Start at the y-intercept (0,0), then use the slope (3) to rise 3 units up and run 1 unit to the right.

Front

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

Back

The slope (m) is -1, which means the line decreases as you move from left to right.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

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

Back

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

Front

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

Back

The y-intercept (b) is 1, which means the line crosses the y-axis at the point (0,1).

Front

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

Back

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