Graph a Linear Equation Using Coordinate Axes

In this relationship, when one quantity changes by a certain amount, the other quantity always changes by a set amount. In this relationship, one quantity has a constant rate of change with respect to the other. Its graph is a line.

• linear relationship

• proportional relationship

• rate of change

• exponential relationship

Answer explanation

A linear relationship between two quantities means they are related like this: When one quantity changes by a certain amount, the other quantity always changes by a set amount. In a linear relationship, one quantity has a constant rate of change with respect to the other.

The relationship is called linear because its graph is a line.

The graph shows a relationship between number of days and number of pages read. When the number of days increases by 2, the number of pages read always increases by 60. The rate of change is constant, 30 pages per day, so the relationship is linear.

Tags

CCSS.HSF-LE.A.1B

A system for telling where points are. It has two axes, x and y.

• slope

• coordinate plane

• constant of proportionality

• linear

Answer explanation

The coordinate plane is a system for telling where points are. For example. point R is located at (3,2) on the coordinate plane, because it is three units to the right and two units up.

The point (0,0) in the coordinate plane. This is where the horizontal (x) and vertical (y) axis cross.

Answer explanation

The origin is the point (0,0) in the coordinate plane. This is where the horizontal axis and the vertical axis cross.

Tags

CCSS.5.G.A.1

The point where the graph of a line crosses the vertical (or y) axis.

• vertical intercept

• horizontal intercept

• origin

• slope

Answer explanation

The vertical intercept is the point where the graph of a line crosses the vertical axis. This is also called the y-intercept.

The vertical intercept of this line is (0,-6) or just -6.

Graph. y = 2/3x - 3

• a

• b

• c

• d

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Tags

CCSS.8.EE.B.5

y = 2x + 5

• y = 2x + 5

• y = -2x - 5

• y = -2x + 5

• y = 5x - 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Graph

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Which is the graph of y= -x + 2?

• A

• B

• C

• D

Q2. Find the equation of the line.

• A) y = 2x + 5

• B) y = -2x - 5

• C) y = -2x + 5

• D) y = 5x - 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2