The general form of slope-intercept form is y=mx+b
m stands for the slope
b stands for the y intercept
They are giving you m so you can replace m with -4/5 ⇒ y=-4/5x+b
Now you just need to find b. They also give you the point (0,-3). This means that when x is 0, y is equal to -3.
Lets go back to y=-4/5x+b and replace x with 0 and y with -3.
⇒ -3=(-4/5)(0) + b
⇒ -3= 0+b
⇒ -3=b
⇒ b=-3
Now that you have m and b, you can find your final answer in the form y=mx+b
⇒ y=-4/5x + (-3)
⇒ y= -4/5x - 3
Answer:
Step-by-step explanation:
m∠AOC = 180 as it is straight line
m∠AOC = m∠AOB + m∠BOC
m∠AOB + m∠BOC = 180
3x + 124 + 6x + 29 = 180
9x + 153 = 180
9x = 180 - 153
9x = 27
x = 27/9
x = 3
m∠BOC = 6x +29 = 6*3 + 29 = 18 +29 = 47
Answer:
TRUE
Step-by-step explanation:
x=3
4x + 2 = 14
4(3)+2=14
12+2=14
14=14
Answer:
the first choice
Step-by-step explanation:
Given:
The two statements.
To find:
The probability of an impossible event.
The probability of a certain event.
Solution:
Formula for probability is:

For an impossible event, the possible favorable outcomes is 0. So,


For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,


Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.