Writing Linear Equations from Graphs

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

If the slope (m) is 3 and the y-intercept (b) is 6, what is the equation of the line?

Back

y = 3x + 6

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the slope of a line represent?

Back

The slope 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

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

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

Write the equation of a line with a slope of -2/3 and a y-intercept of 4.

Back

y = -2/3x + 4

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the rise/run in the context of slope?

Back

Rise/run refers to the vertical change (rise) over the horizontal change (run) between two points on a line.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 1/3, what does this indicate about its steepness?

Back

A slope of 1/3 indicates a gentle incline; for every 3 units moved horizontally, the line rises 1 unit.

Tags

CCSS.8.EE.B.5

Front

Write the equation of a line with a slope of 1/3 and a y-intercept of -2.

Back

y = 1/3x - 2

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the equation of a line that passes through the origin with a slope of 2?

Back

y = 2x

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3