Writing Equations From Graphs and Tables

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

How do you determine the slope from a linear equation in slope-intercept form?

Back

In slope-intercept form, y = mx + b, the slope is represented by 'm'.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the slope-intercept form.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you write an equation from a table of values?

Back

To write an equation from a table, identify the relationship between the x and y values, calculate the slope, and use a point to find the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the slope of the line represented by the equation y = 3x + 16?

Back

The slope of the line is 3.

Tags

CCSS.8.EE.B.5

Front

If Nancy types 50 words per minute, how can you express this relationship as an equation?

Back

The relationship can be expressed as w = 50m, where w is the total words typed and m is the number of minutes.

Tags

CCSS.6.EE.C.9

Front

What is the equation of a line with a slope of 2/3 and a y-intercept of -1?

Back

The equation of the line is y = (2/3)x - 1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

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; it shows how steep the line is.

Tags

CCSS.8.EE.B.5

Front

How can you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3