Slope & Graphing Linear Equations

Front

What is the formula to calculate the slope (m) of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

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

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

If the slope of a line is 0, what does this indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning y remains constant regardless of x.

Front

If the slope of a line is undefined, what does this indicate about the line?

Back

An undefined slope indicates a vertical line, meaning x remains constant regardless of y.

Front

How do you find the y-intercept (b) of a line if you know the slope (m) and a point (x, y) on the line?

Back

Use the formula b = y - mx.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2.

Front

What is the slope of the line that passes through the points (4, 5) and (4, 9)?

Back

The slope is undefined.

Front

What is the slope of the line that passes through the points (2, 3) and (5, 0)?

Back

The slope is -1.