Graphing linear equations practice

Answer explanation

The y-intercept is 6. Start at (0,6) on the y-axis.

The slope is -5/3.

That means you move down 5 units for every 3 units you move to the right.

The slope can also be expressed at 5/-3. Here you would move 5 units up for every 3 units you move to the left.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Answer explanation

The y-intercept is -3. Start by graphing (0,-3)

The slope is 4 which can be expressed as 4/1. This means you move 4 units up for every 1 unit you move to the right.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

Answer explanation

The y-intercept is 0. Start at the point (0,0).

The slope is 2/5. From the y-intercept move 2 units up for every 5 units you move to the right.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

Answer explanation

The y-intercept is 4. Start at (0,4). The slope is 1 which can be expressed as 1/1. Move 1 unit up for every 1 unit you move to the right.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

Graph the linear equation with an x-intercept of 2 and a y-intercept of -5

Answer explanation

The x-intercept is on the x-axis. Plot the point (2,0).

The y-intercept is on the y-axis. Plot the point (0,-5)

Tags

CCSS.HSF-IF.C.7A

Graph the linear equation with x-intercept of -8 and y-intercept of 10

Answer explanation

The x-intercept is on the x-axis. Graph the point (-8,0).

The y-intercept is on the y-axis. Graph the point (0,10)

Tags

CCSS.HSF-IF.C.7A

Graph the linear equation with initial value of 6 and -4 as the rate of change.

Answer explanation

Initial value is the y-intercept. Graph the point (0,6). The rate of change is the slope. The slope is -4 which can be expressed -4/1. This means move down 4 for every 1 unit you move to the right. The slope can also be expressed as 4/-1. In this case you move 4 down for every 1 unit you move to the left.

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Answer explanation

This equation is not given in slope-intercept form. Rearrange it so that y is isolated. The equation will be y=(5/3)x-3. Now the y-intercept is (0,-3) and the slope is 5/3.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Answer explanation

The equation is not given in slope intercept form. Rearrange the equation so that y is isolated. This will be : y=(-7/6)x-3. The y-intercept is -3 and the slope is (-7/6). The slope can also be expressed as (7/-6).

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7