y=mx

Front

What does the equation y=mx represent?

Back

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

Front

What is the slope in the equation y=mx?

Back

The slope 'm' indicates the steepness and direction of the line. A positive slope means the line rises, while a negative slope means it falls.

Front

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

Back

The slope m is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept in the equation y=mx+b?

Back

The y-intercept 'b' is the point where the line crosses the y-axis (when x=0).

Front

If the slope m = 2, what does this mean for the line?

Back

It means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the slope of the line represented by the equation y=-3x+4?

Back

The slope is -3, indicating the line falls as it moves from left to right.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

In the equation y=mx, what does 'm' represent?

Back

The variable 'm' represents the slope of the line.

Front

What is the graphical representation of y=1/3x?

Back

It is a straight line that rises slowly, crossing the origin with a slope of 1/3.