5m²+15m=0

t²-5t+6=0

5p²+12p+4=0

2a²+10a-48=0

x(2x+5)=0

m=1, m= -3

t=3, t=2

p= -0.4, p= -2

a= 3, a= -8

x=0, x= -2.5

 The correct option is (a). (0, 4).

Step-by-step explanation:  We are given to find the y-intercept of the following linear equation:

We know that the y-intercept of an equation will be a point where the value of the x-coordinate is zero.

Substituting x = 0 in equation (i), we have

Therefore, the y-intercept of the given equation is (0, 4).

Thus, option (a) is correct.