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Marat540 [252]
3 years ago
11

What is an equation of the line that passes through the point

Mathematics
2 answers:
Keith_Richards [23]3 years ago
4 0

Answer:

5x - 4y = 32

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x - 4y = 36 ( subtract 5x from both sides )

- 4y = - 5x + 36 ( divide all terms by - 4 )

y = \frac{5}{4} x - 9 ← in slope- intercept form

with slope m = \frac{5}{4}

Parallel lines have equal slopes, thus

y = \frac{5}{4} x + c ← is the partial equation

To find c substitute (8, 2) into the partial equation

2 = 10 + c ⇒ c = 2 - 10 = - 8

y = \frac{5}{4} x - 8 ← in slope- intercept form

Multiply through by 4

4y = 5x - 32 ( subtract 4y from both sides )

0 = 5x - 4y - 32 ( add 32 to both sides )

32 = 5x - 4y, that is

5x - 4y = 32 ← in standard form

jonny [76]3 years ago
4 0
  • answer: y=   --5/4<em>x</em> +12 is ur answer
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