Graphing y = mx + b

Front

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

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

In the equation y = mx + b, 'm' represents the slope of the line, which indicates the steepness and direction of the line.

Front

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

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the y-intercept from the equation y = -3x?

Back

To find the y-intercept from the equation y = -3x, set x = 0. The y-intercept is 0.

Front

What is the slope of the line represented by the equation y = -2x + 6?

Back

The slope of the line represented by the equation y = -2x + 6 is -2.

Front

How can you determine the equation of a line from a graph?

Back

To determine the equation of a line from a graph, identify the slope and the y-intercept, then use the slope-intercept form y = mx + b.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

The equation of a line with a slope of 2 and a y-intercept of 3 is y = 2x + 3.

Front

If a line has a slope of -4/5 and a y-intercept of 3, what is its equation?

Back

The equation of the line is y = -4/5x + 3.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

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