Writing Equations from Graphs

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

How do you write the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as 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

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A line with a slope of 0 is horizontal, meaning it does not rise or fall as it moves along the x-axis.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that goes down from left to right?

Back

The slope of a line that goes down from left to right is negative.

Tags

CCSS.8.EE.B.5

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then divide rise by run.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line with a slope of 1/3 and a y-intercept of -2?

Back

The equation is y = 1/3x - 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope and is represented by an equation of the form x = a, where 'a' is a constant.

Tags

CCSS.8.EE.B.5

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

The formula to find the slope is m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the significance of crossing out wrong answers in multiple-choice questions?

Back

Crossing out wrong answers increases the chances of selecting the correct answer by eliminating options that are clearly incorrect.

Tags

CCSS.RI.7.10

CCSS.RI.8.10

CCSS.RL.7.10

CCSS.RL.8.10

CCSS.RL.9-10.10