7.7A y = mx + b

Front

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

Back

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

Front

What does 'm' represent in the equation y = mx + b?

Back

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

Front

What does 'b' represent in the equation y = mx + b?

Back

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

Front

How do you find the y-intercept from the equation y = -4x - 5?

Back

The y-intercept is -5, which is the value of b in the equation.

Front

If m = 3 and b = 6, what is the equation of the line?

Back

The equation is y = 3x + 6.

Front

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

Back

The slope is 4.

Front

How can you write an equation for a line that has a slope of 20 and a y-intercept of 140?

Back

The equation is y = 20x + 140.

Front

What does a positive slope indicate about a line?

Back

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

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

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).