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.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

x = 23.78

step-by-step explanation: