## Standards of Learning (SOL)

 Essential Knowledge and Skills

• determine the slope of a line when given an equation of the line, the graph of the line, or two points on the line;
• write the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line; and
• graph linear equations in two variables.

## Resources

Vocabulary
Slope, equation of line, graph, point, linear equation, variables, linear function, rate of change, positive slope, negative slope, zero slope, undefined slope, vertical line, horizontal line, x-axis, y-axis, parent function, transformation, dilation, reflections, x-intercept, y-intercept, dependent, independent, relationship, standard form, slope-intercept form, point-slope form, parallel lines, perpendicular lines, rate of change

## Vertical Articulation

Prior Standard of Learning
8.17 The student will solve multistep linear equations in one variable with the variable on one or both sides of the equation, including practical problems that require the solution of a multistep linear equation in one variable.

Post Standard of Learning

AFDA.2 The student will use knowledge of transformations to write an equation, given the graph of a linear, quadratic, exponential, and logarithmic function.

AII.6 For absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic functions, the student will recognize the general shape of function families; and use knowledge of transformations to convert between equations and the corresponding graphs of functions.

 The student will investigate the passage of time and a) tell time to the hour and half-hour, using analog and digital clocks; and b) read and interpret a calendar.
 The student will investigate the passage of time and a) tell time to the hour and half-hour, using analog and digital clocks; and b) read and interpret a calendar.
 The student will investigate the passage of time and a) tell time to the hour and half-hour, using analog and digital clocks; and b) read and interpret a calendar.

## Essential Questions

• How can you determine the slope of a line from the equation?
• How can you determine the slope of a line from two points on the line?
• How can you determine the slope of a line given the graph of the line?
• How can you recognize a line that has a slope that is positive, negative, zero, or undefined?
• How can you write the equation of a line when given the graph of the line?
• How can you write the equation of a line when given two points on the line?
• How can you write the equation of a line when given the slope and a point on the line?
• How do you write the equation of a vertical line?
• How do you write the equation of a horizontal line?
• What is the relationship between the slopes of parallel lines?
• What is the relationship between the slopes of perpendicular lines?
• How can you write the equation of a line parallel or perpendicular to a given line through a given point?
• How can you graph a linear equation?
• How do you describe transformations of linear equations based on the parent function y = x?