Mathematics, 04.08.2019 05:30 Svetakotok

Write an equation of the line, in point-slope form, that passes through the two given points. points: (–16, 8), (4, –2)

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This is the same question as from DINW 220, but I will answer.
This form of the straight line is an equation through the two points and it reads => y-y1= (y2-y1)/(x2-x1) (x-x1), point 1 (-16,8) and poin2 (4, -2) , x1= -16, y1= 8, x2= 4 and y2= -2 =>
y-8 = (-2-8)/(4-(-16)) (x-(-16)) => y-8= -10/(4+16) (x+16) =>
y-8= (-10/20) (x+16) If we simplify fraction (-10/20) we get (-1/2) =>
y-8=(-1/2) (x+16) we will multiply the both sides of the equation with number (2) we get 2y-16= ( -1) (x+16) => 2y-16= -x -16, we will add to the both sides number (+16) => 2y= -x than divide the both sides with number (2) we get y= (-1/2)x where -1/2 is coefficient of direction or (slope) and this linear function have not cut on the y axis, because it goes through a coordinate start ( 0,0) in the decartes coordinate system.

Answer from: cash8812

$y-8=-\frac{1}{2}(x+16)$

Step-by-step explanation:

Since, the point-slope form of a line passes through (x_1, y_1) and (x_2, y_2) is,

y-y_1=m(x-x_1)

Where,

$m=\frac{y_2-y_1}{x_2-x_1}$

Here,

x_1=-16, y_1=8, x_2=4, y_2=-2

Hence, the equation of the line would be,

$y-8=\frac{-2-8}{4+16}(x+16)$

$y-8=-\frac{10}{20}(x+16)$

$y-8=-\frac{1}{2}(x+16)$

Answer from: Quest

its kind of blurry. can you put a clearer pic?

step-by-step explanation:

Answer from: Quest

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

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Write an equation of the line, in point-slope form, that passes through the two given points. points...