Illustrate Linear Equation

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

• A

• B

• C

• D

If (2 ,0) is a solution of the linear equation 2x + 3y = k, then the value of k is_____

• 4

• 5

• 6

• 2

The graph of the linear equation 2x + 3y = 6 cuts the y - axis at the point _____

• (2 ,0)

• (0 ,3)

• (3 ,0)

• (0, 2)

Tags

CCSS.HSF-IF.C.7A

If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation____

• Changes

• Remains the same 

• Changes in case of multiplication only

• Changes in case of division only

Tags

CCSS.HSA.REI.A.1

Choose the correct equation for the given graph.

• y = x + 2

• y = 4 + x

• y = x - 2

• y = 4 - x

Answer explanation

As we can see in the graph that the line is intersecting x axis at 2 and y axis at -2. So here we have got two points (2, 0) and (0, -2). Now let's substitute these points in y = x - 2 (2, 0) In LHS, y = 0 In RHS, x - 2 = 2 - 2 = 0 So, LHS = RHS (0, -2) In LHS, y = -2 In RHS, x - 2 = 0 -2 = -2 So, LHS = RHS Therefore, The graph in the figure is of the equation y = x - 2 and option 3 is the correct answer.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The graph of ax + by + c = 0 is _____

• A straight line parallel to x - axis

• A straight line parallel to y - axis 

• A general straight line

• A line in the 2nd and 3rd quadrant

The graph of the linear equation in two variables y = mx is _____

• a line parallel to x - axis 

• a line parallel to y - axis 

• a line passes through the origin

• not a straight line

The point of the form (a , -a) always lies on the line____

• x = a

• y = - a

• y = x

• x + y = 0

The equation x = 7 in two variables can be written as ____

•  1.x + 1 .y = 7

• 1.x + 0.y = 7

• 0.x + 1. y = 7

• 0.x + 0.y = 7

Tags

CCSS.HSA.REI.C.8

The graph of the line x = 6 is a line___

• parallel to x -axis at a distance of 6 untis from origin

• parallel to y-axis at a distance of 6 units from the origin

• making an intercept 6 on the x-axis

• making an intercept 6 on both the axis