Answer:
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4
Step-by-step explanation:
We can take any two input-output pairs from the table to find the equation of given function.
Linear function is given by:

Here m is the gradient of the functions which is defined as:

The input-output pairs are:
(x1,y1) = (-1,-1)
(x2,y2) = (0,-4)
First of all,

Putting the value of slope in the equation

Putting (-1,-1) in the equation

The equation will be:

Hence,
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4
Answer:
B
Step-by-step explanation:
For the perpendicular of an equation you need to flip the fraction and change the sign from positive to negative or if it's negative to positive. 3/2 is changed to -2/3 which when multiplied by -2 gives you 4/3 and 4/3+5/3 is equal to 3.
Answer:
Step-by-step explanation:
We can use the distance formula derived from the Pythagorean theorem
D = 
the two points given are
(0, 3) and (-2, -3)

Answer: last option.
Step-by-step explanation:
To apply the Distributive property, remember that:

Then, applying this, you get:

Combine like terms means that you need to add the like terms.
Therefore, you get:

You can observe that the expression obtained matches with the expression provided in the last option.
Number 2 is “division into zero property”
Number 3 is “identify property of division”
Number 4 is “-48xy”