Slope Intercept

Front

What is the slope-intercept form of a linear equation?

Back

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means the line rises, negative slope means it falls).

Front

How do you find the y-intercept from a linear equation in slope-intercept form?

Back

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that for every 1 unit increase in x, y decreases by 3 units, meaning the line falls as it moves from left to right.

Front

Back

The y-intercept is 5, which means the line crosses the y-axis at the point (0, 5).

Front

How can you determine the slope from two points on a line, (x1, y1) and (x2, y2)?

Back

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the significance of the y-intercept in real-world applications?

Back

The y-intercept can represent the starting value of a situation in real-world contexts, such as the initial cost before any variables are applied.

Front

Back

Front

Back

The slope is 4, indicating that for every 1 unit increase in x, y increases by 4 units.