Writing Equations from Tables, Graphs and Situations

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you identify the slope from an equation in slope-intercept form?

Back

The slope (m) is the coefficient of x in the equation y = mx + b.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a graph?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

How can you find the equation of a line given two points?

Back

Use the formula for slope m = (y2 - y1) / (x2 - x1) to find the slope, then use point-slope form y - y1 = m(x - x1) to find the equation.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Tags

CCSS.8.EE.B.5

Front

How do you convert a table of values into an equation?

Back

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is the constant y-value.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is the constant x-value.

Front

How do you graph the equation y = 2x + 3?

Back

Start at the y-intercept (0, 3), then use the slope (2) to rise 2 units and run 1 unit to the right.