Write the equation of the line that passes
through (4,-5) and is parallel to y=-2x-4.

y=-2x+3

Step-by-step explanation:

Hi there!

We are given the point (4, -5) and we want to write the equation of the line that passes through that point and is parallel to the line y= -2x-4

Parallel lines have the same slope, but different y intercepts.

So let's find the slope of the line y=-2x-4

The line is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

As -2 is in the place of where m, the slope is, then -2 is the slope of the line. It is also the slope of the line parallel to it.

So let's write the equation of this new line in slope-intercept form. So far, we have:

y=-2x+b

So we need to find b

As the equation passes through the point (4, -5), we can substitute its values into the equation to solve for b

So substitute 4 as x and -5 as y in y=-2x+b

-5=-2(4)+b

Multiply

-5=-8+b

Add 8 to both sides

3=b

Substitute 3 as b in the equation

y=-2x+3

Hope this helps!

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: