Slope & Y-intercept from a Graph

Front

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

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line, calculating the rise (change in y) over the run (change in x) between those points.

Front

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward slant from left to right.

Front

What does an undefined slope indicate about a line on a graph?

Back

An undefined slope indicates a vertical line, where the x-value does not change, leading to a division by zero in the slope formula.

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept can be identified as the point where the line crosses the y-axis, which occurs when x = 0.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept represents the value of y when x is zero, indicating where the line intersects the y-axis.

Front

If a line has a slope of -5, what does this tell you about its steepness and direction?

Back

A slope of -5 indicates a steep downward slope, meaning for every 1 unit increase in x, y decreases by 5 units.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero, leading to division by zero.