Point-Slope Form and Standard Form Review

Front

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

Back

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

Front

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

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y to isolate it on one side.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the slope from two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What are the x and y intercepts of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis (y=0), and the y-intercept is where the line crosses the y-axis (x=0).

Front

How do you find the y-intercept from the equation 5x - 3y = 15?

Back

To find the y-intercept, set x = 0 in the equation and solve for y. For 5(0) - 3y = 15, y = -5.

Front

What does the slope of a line represent?

Back

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

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the relationship between point-slope form and standard form?

Back

Point-slope form can be converted to standard form by rearranging the equation into the format Ax + By = C.

Front

What is the significance of the ordered pair in the context of a linear equation?

Back

An ordered pair (x, y) represents a specific point on the line defined by the linear equation.