equations from graphs

Front

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

Back

The slope of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

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

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 is the y-intercept in the equation y=4x+3?

Back

The y-intercept is 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

The line decreases from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the graph of the equation y = -x + 2?

Back

A straight line that crosses the y-axis at (0, 2) and has a slope of -1.

Front

How can you determine the equation of a line given its graph?

Back

Identify the slope and y-intercept from the graph and use the slope-intercept form.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does a slope of 0 indicate about a line?

Back

The line is horizontal.

Tags

CCSS.8.EE.B.5

Front

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

Back

It is the point where the line crosses the y-axis.

Front

How do you convert the equation y = 1/4 x + 2 into standard form?

Back

Multiply through by 4 to get 4y = x + 8, then rearrange to -x + 4y = 8.