Point-Slope and Slope Intercept Form

Front

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

Back

The point-slope form is given by the equation: y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is a point on the line.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert, solve for y: y = mx + b, where b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the slope of a line that rises to the right?

Back

The slope is positive.

Front

What is the slope of a line that falls to the right?

Back

The slope is negative.

Front

What is the slope of a horizontal line?

Back

The slope is zero.

Front

What is the slope of a vertical line?

Back

The slope is undefined.

Front

Given the points (1, 2) and (3, 6), what is the slope of the line?

Back

The slope is 2.

Front

What is the slope-intercept form of the equation y = 3x + 4?

Back

The slope is 3 and the y-intercept is 4.

Front

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

Back

The slope is the coefficient of x in the equation y = mx + b.