Slope-Intercept Form and Y-Intercept

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

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

Back

The y-intercept is the value of b in the equation, which is the point where the line crosses the y-axis.

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

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 y-intercept of the equation y = 4x - 2?

Back

The y-intercept is -2.

Front

How can you determine the slope from the equation y = -5x + 1?

Back

The slope is -5, which is the coefficient of x.

Front

What is the y-intercept of the equation y = 0.5x + 3?

Back

The y-intercept is 3.

Front

How do you convert the equation y + 2 = 3x into slope-intercept form?

Back

Subtract 2 from both sides to get y = 3x - 2.

Front

What is the slope of the line represented by the equation y = 2/3x + 1?

Back

The slope is 2/3.

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 means the line is horizontal and does not rise or fall.