slope intercept form

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 the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept in the equation y = 3/2x + 3?

Back

The y-intercept is (0, 3).

Front

How do you find the slope from the equation y = mx + b?

Back

The slope is the coefficient of x, which is m.

Front

If the slope is negative, what does that indicate about the line?

Back

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

Front

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

Back

The slope is -5/4.

Front

How do you write an equation with a given slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the slope of the line if m = 3 and b = 6?

Back

The slope is 3.

Front

What does the term 'rate of change' refer to in the context of linear equations?

Back

Rate of change refers to how much y changes for a unit change in x, represented by the slope.

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept is the point where the line crosses the y-axis.