Finding Slope and y-intercept From a Graph

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the rise (vertical change) to the run (horizontal change) between two points on the line.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope (m) from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

Back

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

Front

How can you determine the y-intercept from a graph?

Back

To find the y-intercept from a graph, locate the point where the line intersects the y-axis.

Front

What is the formula for the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is 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

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right, meaning for every 2 units you move down, you move 1 unit to the right.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about the relationship between x and y?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

How do you simplify a fraction when calculating slope?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Tags

CCSS.8.EE.B.5

Front

What is the rise in the context of slope?

Back

Rise refers to the vertical change between two points on a line, calculated as the difference in the y-coordinates.

Tags

CCSS.8.EE.B.5