Use point-slope form to write the equation of a line that passes through the point (19, 15) with slope -5.

y - 15 = -5(x - 19)

Step-by-step explanation:

Alright, so this question is asking you to use and make an equation using the base equation of "point-slope form." This tends to be a common equation used when solving with coordinates and graphs in math. The point-slope form equation looks like this:

y - y₁ = m(x - x₁).

We are going to need to use this equation base to create our problem from the information given in the question. If you are wondering what those subscripts of 1 mean (the 1 in y₁ and x₁), I will explain. Remember that:

slope (m) = y - y₁

                  x - x₁

So, our first y value (which is the y-coordinate of 15 in [19, 15]) can be added into the problem base that I had mentioned above:

y - 15 = m(x - x₁).

Now we need to place the first x value (which is the 19 in [19, 15]) can be added into the base problem given once more:

y - 15 = m(x - 19).

Fortunately, the question provides a slope ready for us to use and place into the equation. The question says that the slope is -5, so we can place this into the equation now:

y - 15 = -5(x - 19).

I hope that this helps.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.