Answer:
Slope=1, y-intercept=-1.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-(-4))/(0-(-3))
m=(-1+4)/(0+3)
m=3/3
m=1
y-(-4)=1(x-(-3))
y+4=x+3
y=x+3-4
y=x-1
y=mx+b where m=slope and b=y-intercept
so you have slope of 1 and y-intercept of -1

Hope that helps.Have a nice day!! ^^
Answer:
The pebble will hit the ground 8.29 second after it is thrown.
Step-by-step explanation:
Given that,
The height of the pebble after t seconds is given by the equation
h= -16t²+24 t+900.
When the pebble hit the ground, the height of the pebble will be zero.
So putting h=0 in the given equation.
0 = -16t²+24 t+900
⇒-4(4t²-6t-225)=0
⇒4t²-6t-225=0
Applying quadratic formula
, here a=4, b= -6 and c= -225.

⇒ t = 8.29, -6.79
Since time can not negative.
∴t=8.29 seconds.
The pebble will hit the ground 8.29 second after it is thrown.