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 the slope (m) represent in the equation y = mx + b?

Back

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

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

If m = 3 and b = 6, what is the slope-intercept equation?

Back

y = 3x + 6

Front

What is the slope in the equation y = 2x + 3?

Back

The slope is 2.

Front

How do you graph the equation x + y = 3?

Back

Rearrange to y = -x + 3 and plot the y-intercept (0,3) and slope (-1).

Front

What is the y-intercept in the equation y = 2x - 2?

Back

The y-intercept is -2.

Front

What value represents the slope in the equation y = 1/2x + 8?

Back

The slope is 1/2.

Front

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

Back

Use the formula m = (y2 - y1) / (x2 - x1).

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases.