Writing Linear Equations from Multiple Representations

Front

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

Back

The slope-intercept form of a linear equation 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

How do you find the slope (m) from 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 does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Write a linear equation for a line with a slope of -2 and a y-intercept of -3.

Back

y = -2x - 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Given the points (1, 2) and (3, 4), write the linear equation in slope-intercept form.

Back

y = x + 1.

Front

What is the relationship between the slope and the steepness of a line?

Back

A larger absolute value of the slope indicates a steeper line.

Tags

CCSS.8.EE.B.5

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Tags

CCSS.8.EE.B.6

Front

How can you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

Front

Write an equation for a line that passes through the origin with a slope of 5.

Back

y = 5x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a coach pays a one-time fee of $24 and $8 for each shirt, how would you express the total cost (c) in terms of the number of shirts (k)?

Back

c = 8k + 24.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2