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 represent in a graph?

Back

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

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept is 3, which is the value of y when x = 0.

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, meaning there is no change in y as x changes.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3.

Front

How can you determine if a slope is positive or negative from a graph?

Back

A positive slope rises from left to right, while a negative slope falls from left to right.

Front

What is the slope of the function y = 5/2x - 1?

Back

The slope is 5/2.

Front

Write the equation of a line with a slope of 1 and a y-intercept of -2 in slope-intercept form.

Back

y = 1x - 2 or y = x - 2.

Front

What does a slope of 1/2 indicate about the relationship between x and y?

Back

For every 2 units increase in x, y increases by 1 unit.