Graphing line given slope and 1 point

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines where the change in x is zero, making the slope calculation impossible.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line where the y-value remains constant as the x-value changes.

Front

How do you graph a line given a slope and a point?

Back

Start at the given point, use the slope to determine the rise over run, and plot another point. Draw a line through the points.

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

How can you identify a line with a slope of -1 on a graph?

Back

A line with a slope of -1 decreases one unit in y for every one unit it increases in x, creating a diagonal line from the top left to the bottom right.

Front

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

Back

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