Slope Intercept & Point Slope

Front

What does the letter 'm' represent in the context of slope?

Back

The letter 'm' represents the slope of a line in slope-intercept form.

Front

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

Back

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

Front

How do you write the equation of a line using point-slope form?

Back

The point-slope form is written as y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

If the slope (m) is 3 and the point is (-2, 1), what is the equation of the line?

Back

The equation is y - 1 = 3(x + 2).

Front

What is the y-intercept in the equation y = 2x + 5?

Back

The y-intercept is 5.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

If a line has a slope of 0, what does this mean?

Back

A slope of 0 means the line is horizontal.

Front

If a line is vertical, what is the slope?

Back

The slope of a vertical line is undefined.