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

Back

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

Front

How do you identify the slope from the equation y = 2x + 5?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line descends from left to right.

Front

How do you convert the equation y = -2x + 4 to slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b.

Front

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

Back

The slope is 1/2.

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

The slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What does a positive slope indicate about a line?

Back

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