Points of Intersection on Graph

The original function y = 2/5 x + 4 is graphed on the same grid as the new function y = 5/2 x + 4. Which of the following statements about these graphs is true?

• The graph of the original function is steeper than the graph of the new function.

• The graph of the original function is parallel to the graph of the new function.

• The graphs intersect at (4, 0).

• The graphs intersect at (0, 4).

If the y-intercept of the graph showed is changed to (0, 5) and the slope becomes −4, which statement best describes the relationship between the two lines when they are graphed on the same coordinate grid?

• The y-intercepts are 1 unit apart, and the lines are parallel.

• The y-intercepts are 1 unit apart, and the lines intersect at (1, 1).

• The y-intercepts are 1 unit apart, and the lines are perpendicular.

• The y-intercepts are 1 unit apart, and the lines intersect at (1, 0).

• A (-2,0) (2,0)

• B (-2,0) (1,-3)

• C (0,-2) (-3,1)

• D (0,-4) (0,-2)

Tags

CCSS.HSA.REI.C.7

Which of the following are the steps to solve a non-linear system of equations in two variables by graphing?

• 1. Graph both of the equations on the same graph.

  2. Find the intersection points of the graphs.

  3. The intersection points are your solutions.

• 1. Subtract one equation from the other equation.

  2. Graph the resulting equation.

  3. The x-intercept of the graph is your solution.

• 1. Graph only one of the equations.

  2. Find your y-intercept of the graph.

  3. The y-intercept is your solution.

• 1. Graph both equations on the same graph.

  2. Find the points where the graphs cross the x-axis.

  3. These points are your solutions.

Tags

CCSS.HSA.REI.C.7

Solve the system of equations by graphing: y = x^2 - 4x + 2 and y = 2x - 3.

• The point of intersection is (1, -1).

• The point of intersection is (2, 1)

• The point of intersection is (0, 2)

• The point of intersection is (1, 2)

Tags

CCSS.HSA.REI.C.7

The graph of f(x) and g(x) is shown below. How many solutions does the system of equations have?

• One

• Two

• Three

• Four

• No Solution

Tags

CCSS.HSA.REI.C.7

• (-1,7) and (1,3)

• (7,-1) and (3,1)

• (1,-7) and (-1,3)

• (-1,7) and (1,-3) 

Tags

CCSS.HSA.REI.C.7

Solve:

• (-3,14) and (-6,26)

• (-3,14)

• (-6,26)

• (3,14) and (-6,26)

Tags

CCSS.HSA.REI.C.7

How many crossings are there?

(Of the green line and the blue curve?)

• 0

• 1

• 2

Tags

CCSS.HSA.REI.C.7

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

Tags

CCSS.HSA.REI.C.7