y = mx

Front

What does the equation y = mx represent?

Back

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

Front

What is the slope in the equation y = mx?

Back

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

Front

How do you find the slope from a table of values?

Back

The slope can be calculated by taking the difference in y-values divided by the difference in x-values between two points: m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope is 3.

Front

What is the slope of the line represented by the equation y = 5x?

Back

The slope is 5.

Front

If the slope is 1, what is the equation of the line?

Back

The equation is y = 1x or simply y = x.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-values are the same for all points.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

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.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.