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, indicating how steep the line is.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How do you identify the slope from the equation y = 2/3x - 3?

Back

The slope is 2/3, which is the coefficient of x.

Front

How do you identify the y-intercept from the equation y = 2/3x - 3?

Back

The y-intercept is -3, which is the constant term.

Front

Write the equation of a line with a slope of 1 and a y-intercept of 2.

Back

y = 1x + 2 or y = x + 2.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

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

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

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

Front

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

Back

The slope is -4.

Front

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

Back

The slope is 3.