Slope Intercept, Point Slope, & Standard 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

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the y-intercept from a linear equation in slope-intercept form?

Back

The y-intercept is the value of y when x = 0, which is represented by the constant b in the equation y = mx + b.

Front

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

Back

The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

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

Back

To convert, solve for y in the point-slope equation y - y1 = m(x - x1) to get y = mx + (y1 - mx1).

Front

What is the standard form of a linear equation?

Back

The standard form is given by the equation Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

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

Back

To convert, rearrange the equation y = mx + b to the form Ax + By = C by moving all terms to one side.

Front

What is the significance of the coefficients A and B in standard form?

Back

The coefficients A and B represent the direction and steepness of the line, and they must be integers.

Front

What does it mean for a linear equation to be in standard form?

Back

A linear equation is in standard form if it can be expressed as Ax + By = C, where A, B, and C are integers.

Front

How do you identify the slope from a linear equation in standard form?

Back

The slope can be found by rearranging the standard form equation Ax + By = C into slope-intercept form (y = mx + b).