y = mx + b

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y = 3x - 4?

Back

The slope is 3.

Front

What is the y-intercept in the equation y = 2x + 5?

Back

The y-intercept is 5.

Front

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

Back

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

Front

What does a slope of 0 indicate about a line?

Back

It indicates that the line is horizontal.

Front

What does a negative slope indicate about a line?

Back

It indicates that the line is decreasing from left to right.

Front

What is the equation of a line with a slope of 4 and a y-intercept of -2?

Back

y = 4x - 2.

Front

If a line passes through the point (1, 2) and has a slope of 3, what is its equation?

Back

y = 3x - 1.

Front

What is the meaning of the term 'y-intercept'?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

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

Back

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