Writing Equations From Graphs and Tables

What is a function?

• A function is a relation that assigns exactly one output (y) for each input (x).

• A function is a type of variable that can hold multiple values.

• A function is a mathematical operation that only applies to integers.

• A function is a graphical representation of data points.

What is the y-intercept?

• The point where the line crosses the x-axis.

• The value of y when x = 0.

• The slope of the line at the origin.

• The distance from the origin to the line.

What is the equation of a line with a slope of 2 and a y-intercept of -3?

• y = 2x - 3

• y = 3x - 2

• y = -2x + 3

• y = -3x + 2

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What does it mean for a function to be linear?

• A function is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

• A function is linear if it has a variable rate of change and can be represented by a curve.

• A function is linear if it can be represented by a series of points that do not form a straight line.

• A function is linear if it is defined only for positive values of x.

How do you write an equation from a table of values?

• Identify the pattern in the changes of x and y values, calculate the slope, and use a point to find the y-intercept.

• Simply take the average of the x and y values to create an equation.

• Use the highest x value to determine the y-intercept directly.

• Write down the values as they are without any calculations.

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

• To convert, you need to rearrange the equation to get all terms on one side.

• You simply change the slope to a fraction.

• You multiply the entire equation by zero.

• You add the coefficients of x and y.

How can you determine the slope from two points on a line?

• The slope can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

• The slope can be found by averaging the x-coordinates of the two points.

• The slope is determined by the distance between the two points divided by the time taken to travel between them.

• The slope can be calculated using the formula m = (x2 - x1) / (y2 - y1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

How do you write an equation from a graph?

• Identify the slope (m) and the y-intercept (b) from the graph, then use the formula y = mx + b.

• Use the coordinates of two points on the graph to find the equation.

• Draw a line through the points and estimate the equation visually.

• Convert the graph into a table of values and then derive the equation.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the significance of the coefficients in a linear equation?

• They determine the x-intercept of the line.

• They determine the slope and the y-intercept, which define the line's steepness and where it crosses the y-axis.

• They indicate the maximum value of the equation.

• They represent the constant term in the equation.

What is a linear function?

• A function that can be represented as a straight line in the Cartesian plane, with the form y = mx + b.

• A function that has a constant rate of change and can be represented as a curve.

• A function that can only take positive values and is represented as a parabola.

• A function that has no slope and is represented as a horizontal line.