slope intercept form

Front

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

Back

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

Front

What does 'm' represent in the slope-intercept form?

Back

'm' represents the slope of the line, indicating how steep the line is.

Front

What does 'b' represent in the slope-intercept form?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you find the slope from the equation y = 5x - 6?

Back

The slope is 5, which means for every 1 unit increase in x, y increases by 5.

Front

What is the slope of the line represented by the equation y = -4/5x + 2?

Back

The slope is -4/5, indicating the line goes down 4 units for every 5 units it goes to the right.

Front

What does a slope of zero indicate about a line?

Back

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

Front

What is the graph of the equation x = 2?

Back

The graph of x = 2 is a vertical line that crosses the x-axis at 2.

Front

How do you determine the y-intercept from the equation y = -x + 2?

Back

The y-intercept is 2, which is the value of y when x = 0.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing, meaning as x increases, y decreases.

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope is 3, indicating the line rises 3 units for every 1 unit it moves to the right.