Slope Intercept Form from Tables

Front

What is the y-intercept?

Back

The y-intercept is the value of y when x is 0. In the equation y = mx + b, b represents the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does 'm' represent in the equation y=mx+b?

Back

'm' represents the slope of the line, which indicates the steepness and direction of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1) using any two points from the table.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line if the change in y is 4 and the change in x is 1?

Back

The slope is 4, calculated as m = (4 - 0) / (1 - 0) = 4.

Tags

CCSS.8.EE.B.5

Front

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

Back

The equation is y = x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If the slope of a line is -2, what does this indicate about the line?

Back

A slope of -2 indicates that for every 1 unit increase in x, y decreases by 2 units, meaning the line descends.

Tags

CCSS.8.EE.B.5

Front

What is the formula for slope?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

The slope is 2, calculated as m = (7 - 3) / (4 - 2) = 2.

Tags

CCSS.8.EE.B.5

Front

What does a slope of 0 mean?

Back

A slope of 0 means the line is horizontal and there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept indicates where the line crosses the y-axis, showing the value of y when x is 0.