Question

i want to draw a graph for this and find values of a and b​

Answer 1

a = 5/2 and b = 0

Step-by-step explanation:

y  = mx   + c

For the first point, the equation becomes 4 = -2m + c -------------------(1)

For the second point, the equation becomes 2 =  m + c -------------------(2)

Solving (1) and (2), we get

3m = - 2

m = - 2/3

Substituting m in equation (2), we get c = 8/3

The linear equation is:

y = -2x/3  + 8/3

3y = -2x + 8

2x + 3y  = 8

Let's check for point ( 7 , - 2), equation becomes:

2(7) + 3(-2) = 8

8 = 8

For the point (a, 1), equation becomes:

2a + 3  = 8

a = 5/2

For the point (4, b), equation becomes:

2*4 + 3b = 8

3b = 0

b = 0