slope and y intercept from a table

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

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 the value of y when x = 0.

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula: slope = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

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

If a line has a slope of 4, what does this indicate?

Back

A slope of 4 indicates that for every 1 unit increase in x, y increases by 4 units.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line descends from left to right, meaning as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept can be determined by finding the value of y when x = 0 in the table.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates in various contexts.

Tags

CCSS.8.EE.B.5

Front

How do you write an equation in slope-intercept form from two points?

Back

First, calculate the slope using the two points, then use one point to solve for the y-intercept and write the equation in the form y = mx + b.

Front

What is the formula to calculate the y-intercept from a slope and a point?

Back

Using the slope (m) and a point (x1, y1), the y-intercept (b) can be calculated as b = y1 - mx1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3