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 a linear equation?

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 a linear equation?

Back

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

Front

How do 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 = 4x + 3?

Back

The slope of the line is 4.

Front

What is the y-intercept of the line represented by the equation y = -x + 3?

Back

The y-intercept of the line is 3.

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

If the slope (m) is positive, the line is increasing; if the slope is negative, the line is decreasing.

Front

What is the slope of the line represented by the equation y = -2x + 3?

Back

The slope of the line is -2.

Front

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

Back

The equation is y = 3x + 6.

Front

Which equation represents a line with a slope of 0?

Back

The equation y = b, where b is a constant, represents a horizontal line with a slope of 0.