Which of these points lies on the line described by the equation below y-3=5(x-9)

Mathematics

2 answers:

ladessa [460]3 years ago

5 0

Answer:

(9,3)

Step-by-step explanation:

We have been given an equation of a line $y-3=5(x-9)$ and we are asked to find the point that lies on our given line.

Since we know that point-slope form equation of a line is: $(y-y_1)=m(x-x_1)$ , where,

m = The slope of the line.

$(x_1,y_1)$ = The coordinates of given point on the line.

Since our given equation is in point-slope form, so x-coordinate of our given point is 9 and y-coordinate of our given point is 3.

Therefore, point (9,3) lies on the line described by our given equation.

s344n2d4d5 [400]3 years ago

3 0

(9,3) is the answer because in point slope form what x and y and subtrating from is the point it lies on

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Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the len

alexira [117]

Answer:

HJ = 8 JE = 4

Step-by-step explanation:

it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.

HJ= 1/2 (GF)

x + 3 = 1/2 (4x - 4)

x + 3 = 2x - 2

x = 5

^ Thus meaning the value of x is 5.

Now you just fill into your equations:

HJ = x + 3 = (5) + 3 = 8

JE = x - 1 = (5) - 1 = 4

Therefore, HJ = 8; JE = 4.

5 0

3 years ago

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