Point-Slope Equations and Graphs

Jessica is solving the system of equations shown below. If she graphs this system on a coordinate plane, how could she interpret the solution of this system?

• The system will be parallel.

• The system will be one line.

• The system will intersect at one point.

• The system will intersect at two different points.

Tags

CCSS.8.EE.C.8B

Which point satisfies both equations?

y - x = 2

y + 2x = 2

• (0, 2)

• (2, 0)

• (2, 4)

• (-2, 6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Jan has $100 in her bank account. She adds $15 to her account each month. Maura had $130 in her bank account . She adds $10 to her account each month. A system of equations is used to find how many monthly deposits will be needed for the accounts to have equal balances. Which graph correctly depicts this system of equations and its solution?

• 
• 
• 
• 

Tags

CCSS.8.EE.C.8B

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8A

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

• y + 7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y + 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

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

• A

• B

• C

• D

Write the equation of the line with slope 4 through the point (−2, 5).

• y = 4x − 13

• y = 4x + 13

• y = 4x − 3

• y = 4x + 3

Write the equation of the line with slope 5/2 through the point (8, −2).

• y = 5/2x + 18

• y = 5/2x − 18

• y = 5/2x + 22

• y = 5/2x − 22

Graph the line: y + 5 = -4 (x - 8)

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

Tags

CCSS.8.EE.C.8B