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 determine if a slope is positive, negative, zero, or undefined?

Back

A positive slope rises from left to right, a negative slope falls from left to right, a zero slope is horizontal, and an undefined slope is vertical.

Front

If a line has a slope of 2/3, what does this mean in terms of rise and run?

Back

A slope of 2/3 means that for every 3 units you move to the right (run), the line rises 2 units (rise).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you convert the equation y = 2x + 5 into slope-intercept form?

Back

The equation is already in slope-intercept form, where the slope is 2 and the y-intercept is 5.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope of the line is -4.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.