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faltersainse [42]
3 years ago
14

Help

Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0

The equation of the line is y - 3 = 5(x - 8) ⇒ c

Step-by-step explanation:

The point-slope form of the linear equation is y-y_{1}=m(x-x_{1}) , where:

  • m is the slope of the line
  • (x_{1},y_{1}) is a point on the line

∵ The line passes through point (8 , 3)

∴ x_{1} = 8 and y_{1} = 3

∵ The slope of the line is 5

∴ m = 5

- Substitute these values in the form of the equation below

∵ y-y_{1}=m(x-x_{1})

∴ y - 3 = 5(x - 8)

The equation of the line is y - 3 = 5(x - 8)

Learn more:

You can learn more about the linear equations in brainly.com/question/1284310

#LearnwithBrainly

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Find x, GH, and HI <br> .
ruslelena [56]
Given that GI = 53, and
• GH = 3x - 11
• HI = 2x + 4

We can establish the following equality statement to solve for x:

GH + HI = GI
3x - 11 + 2x + 4 = 53

Combine like terms:
5x - 7 = 53

Add 7 to both sides:
5x - 7 + 7 = 53 + 7
5x = 60

Divide both sides by 5 to solve for x:
5x/5 = 60/5

x = 12

Substitute the value of x into the equality statement to verify if it is the correct value for x:

GH + HI = GI
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3(12) - 11 + 2(12) + 4 = 53
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53 = 53 (True statement. Thus, x = 12 is the correct value).

Therefore:
GH = 3x - 11
GH = 3(12) - 11
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