Find an equation of the line that goes through the points (8,-45) and (2,-9). Write your answer in the form y = mx + b.

Linear equations are commonly organized in slope-intercept form:

To find the equation of a line given two points:

We're given:

First, determine the slope using the following formula:

where the given points are and

⇒ Plug in the given points (8,-45) and (2,-9):

Therefore, the slope of the line is -6. Plug this into as m:

Now, determine the y-intercept:

⇒ Plug in one of the given points as (x,y) and solve for b:

Therefore the y-intercept of the line is 3. Plug this back into :

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

The answer is in the image 

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The answer is in the image 

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.