Writing Linear Equations

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you identify the slope from the equation y = 2x + 3?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in the equation y = -3x + 4?

Back

The y-intercept is 4, which is the point where the line crosses the y-axis.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

If a line has a slope of 1/2, what does this indicate about the relationship between x and y?

Back

For every 2 units increase in x, y increases by 1 unit.

Tags

CCSS.HSF-LE.A.1B

Front

How can you determine the slope from a graph?

Back

The slope can be determined by finding the rise over run between two points on the line.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x.

Tags

CCSS.8.EE.B.5

Front

Given the points (2, 5) and (4, 9), what is the slope of the line connecting them?

Back

The slope is 2, calculated as (9-5)/(4-2).

Tags

CCSS.8.EE.B.5

Front

What does it mean if the slope of a line is negative?

Back

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

Tags

CCSS.8.EE.B.5

Front

How do you convert the equation y = 3x - 7 into slope-intercept form?

Back

It is already in slope-intercept form with a slope of 3 and a y-intercept of -7.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the equation of a line with a slope of 0?

Back

The equation is y = b, where b is the y-value for all x (a horizontal line).

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6