What is a linear equation in two variables?
An equation that can be written in the standard form: Ax + By = C, where A, B, and C are real numbers and A and B are both nonzero.
Slope-intercept form is another way to express linear equations.
Identify the coordinates of point A.
(3, 5)
Coordinates represent the position of a point in the Cartesian plane.
Identify the coordinates of point B.
(-4, -5)
Coordinates represent the position of a point in the Cartesian plane.
Identify the coordinates of point C.
(1, -2)
Coordinates represent the position of a point in the Cartesian plane.
Identify the coordinates of point D.
(-2, 2)
Coordinates represent the position of a point in the Cartesian plane.
Identify the coordinates of point E.
(0, 0)
Coordinates represent the position of a point in the Cartesian plane.
Identify the coordinates of point F.
(3, 0)
Coordinates represent the position of a point in the Cartesian plane.
Identify the coordinates of point G.
(0, -4)
Coordinates represent the position of a point in the Cartesian plane.
Identify the coordinates of point H.
(-1.5, 5)
Coordinates represent the position of a point in the Cartesian plane.
Identify the coordinates of point I.
(-0.5, 0)
Coordinates represent the position of a point in the Cartesian plane.
Identify the coordinates of point J.
(-3, -2)
Coordinates represent the position of a point in the Cartesian plane.
What is the slope of a line?
The ratio of the change in the y-coordinates to the corresponding change in the x-coordinates.
Slope indicates the steepness and direction of a line.
What does a positive slope indicate?
Line rises from left to right.
Positive slopes indicate an increasing relationship between x and y.
What does a negative slope indicate?
Line rises from right to left.
Negative slopes indicate a decreasing relationship between x and y.
What does a zero slope indicate?
Line is horizontal.
A zero slope means there is no change in y as x changes.
What does an undefined slope indicate?
Line is vertical.
An undefined slope occurs when there is no change in x as y changes.
True or false: The slope of a line can be both positive and negative.
TRUE
The slope can vary based on the direction of the line.
Fill in the blank: A linear equation in two variables can be expressed in the ________ form.
slope-intercept
Slope-intercept form is often used to graph linear equations.
