1. -(p - 5) = -5 - 7(p + 2)
2.7(r - 8) = -2(r + 1)

Answer:

Her gross pay for that week=$525

Step-by-step explanation:

Step 1: Express the gross pay

The gross pay can be expressed as follows;

A=F+(R×T)

where;

A=the gross pay per week

F=fixed income per week

R=commission rate

T=total commission sales

In our case;

F=$300 a week

R=15%=15/100=0.15

T=(2,500-1,000)=$1,500

replacing;

A=300+(15% of 1,500)

A=300+(0.15×1,500)

A=300+225=525

A=$525

Her gross pay for that week=$525

Answer:

y = 2x + 3

Step-by-step explanation:

To find the equation of a line, you need 2 things:

1) gradient/slope

2) 1 set of x and y coordinates

To find the slope:

If 2 lines are parallel, they have exactly the same gradient.

So, this line will have a slope of 2 as well (the slope of a line is the coefficient of x in the equation).

To find the equation of the line:

Start with this generic equation:

y - y1 = m (x-x1)

We know that:

(x1, y1) -> (-2, -1) and m= 2

So, we can substitute for the equation:

y- (-1) = 2 (x -(-2))

Simplify, by expanding the brackets:

y + 1= 2 (x+2)

y + 1 = 2x + 4

Rearrange for y:

y = 2x + 3

To double check:

1) The coefficient of x is the slope, we have 2x and the slop is 2, so that's correct

2) Sub in x= -2, and you should get y=-1

y = -4 + 3 = -1, so that's correct too

Hope that helped : )