Question

Plot the data and describe the graph of each of the following 1.(-3,0) and (0,-3) 2. m= 2 b=2

Answer 1

Answer:

Draw the x and y axes. Mark the units along the x and y axes with a suitable scale.

(i) To plot the point A (3 , 5)

     Here, the x-coordinate of A is 3 and the y-coordinate of A is 5. Both are positive. Hence the point A (3 , 5) lies in the  quadrant I. Start at the Origin. Move three units to the right along the x-axis. Then turn and move 5 units up parallel to Y-axis and mark the point A (3 , 5).

(ii) To plot the point B (2 , 7)

    Here, the x-coordinate of B is -2 which is negative and the y-coordinate of B is 7 which is positive. Hence the point  B (-2 , 7) lies in the quadrant II. Start at the Origin. Move 2 units to the left along the x-axis. Then  turn and move 7 units up parallel to y-axis and mark the point B (-2 , 7).

(iii) To plot the point C (-3 , -5) Here, the x-coordinate of C is -3 and the y-coordinate of C is -5. Both are negative. Hence the point C (-3 , -5) lies in the quadrant III. Start at the Origin. Move 3 units to the left along the x-axis. Then turn and move 5 units down parallel to y-axis. and mark the point C (-3, -5).

(iv) To plot the point D (2 , 7)

     Here, the  x-coordinate of the point D is 2 which is positive and the y-coordinate of D is -7 which is negative. Hence the point D (2 , -7) lies in the quadrant IV. Start at the Origin. Move 2 units to the right along the x-axis. Then turn and move 7 units down parallel to y-axis and mark the point D (2 , -7).

(v) To plot the point O (0, 0)

     This is the origin. Both the x and y coordinates are zeros. It is the point of  intersection of the axes x and y. Mark the point O (0,0)

Step-by-step explanation:

Answer 2

Given : 1.  (-3,0) and (0,-3)

2.   m = 2 b = 2

To Find : Plot the data and describe the graph

Solution:

slope intercept form y = mx + b

1.  (-3,0) and (0,-3)

(-3,0)   go 3 point left of origin

(0 , -3)  go 3 point below origin

Draw  a line passing through the points (-3,0) and (0,-3)

Slope = ( - 3 - 0)/(0 - (-3)) = - 3/3  = - 1

y = -x + b

-3 = b

=> y = -x  - 3

=> x + y = - 3

=> x/-3 + y/-3 = 1

Slope = - 1

x and y intercept are  -3

2.   y = mx + b

m = 2 , b = 2

=> y = 2x  + 2

x= 0 , y = 2 , plot point  (0 , 2)

y = 0  => x= -1  , plot point (-1  , 0)

-2x + y  = 2

x/-1  + y/2  = 1

x intercept = - 1

y intercept = 2

Slope = 2

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