Graphing 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.EE.B.6

CCSS.8.F.A.3

Front

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

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

How would you write the equation of a line with a slope of 1 and a y-intercept of 2?

Back

The equation is y = 1x + 2 or simply y = x + 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that makes a straight line when graphed.

Tags

CCSS.HSF-IF.C.7A

Front

Which graph represents the equation y = 3x - 1?

Back

The graph will have a slope of 3 and a y-intercept at -1.

Front

What is the y-intercept of the equation y = -1/2x + 4?

Back

The y-intercept is 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3