Slope-Intercept Form Review

Front

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

Back

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

Front

How do you identify the slope from an equation in slope-intercept form?

Back

The slope can be identified as the coefficient of x in the equation y = mx + b.

Front

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

Back

The y-intercept represents the point where the line crosses the y-axis, which is the value of y when x = 0.

Front

If a line has a slope of -1/2, what does this indicate about the line's direction?

Back

A slope of -1/2 indicates that for every 2 units the line moves horizontally to the right, it moves 1 unit down vertically, showing a downward slope.

Front

How can you find the y-intercept from a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

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

Back

The slope of the line is 2.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where b is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where a is a constant.

Front

How do you convert the equation y = 6x - 2 into slope-intercept form?

Back

The equation y = 6x - 2 is already in slope-intercept form, where the slope is 6 and the y-intercept is -2.

Front

What is the significance of the point (0, b) in the context of linear equations?

Back

The point (0, b) represents the y-intercept of the line, where the line crosses the y-axis.