Writing Linear Equations

Front

What does 'm' represent in the equation of a line?

Back

Slope

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

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

Back

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

Front

What is the x-intercept of a line?

Back

The point where the line crosses the x-axis, represented as (a, 0) in the equation.

Front

If a line has a slope of -2, what does this indicate about its direction?

Back

The line decreases as it moves from left to right.

Front

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

Back

It indicates the starting point of the line on the y-axis.

Front

How can you determine if a point (x, y) lies on a line given by the equation y = mx + b?

Back

Substitute x into the equation and see if the resulting y equals the y-coordinate of the point.

Front

What is the slope of a horizontal line?

Back

0, because there is no vertical change.

Front

What is the slope of a vertical line?

Back

Undefined, because there is no horizontal change.