Y=MX+B from Graph, Table, Ordered Pair

Front

What does the equation of a line in slope-intercept form look like?

Back

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 is the slope of a line?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

For every 1 unit increase in x, y increases by 4 units.

Tags

CCSS.HSF.LE.B.5

Front

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

Back

1. Calculate the slope using the two points. 2. Use one point and the slope to solve for b in y = mx + b.

Front

What is the significance of the slope being negative?

Back

A negative slope indicates that as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope and can be represented by an equation of the form x = a.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0 and can be represented by an equation of the form y = b.

Tags

CCSS.8.EE.B.5

Front

How do you write the equation of a line given the slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3