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marissa [1.9K]
3 years ago
5

Help me solve this math problem!

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0

Answer:

4x + y = 32

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

First obtain the equation in slope- intercept form

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, 4) and (x₂, y₂ ) = (5, 12)

m = \frac{12-4}{5-7} = \frac{8}{-2} = - 4, thus

y = - 4x + c ← is the partial equation of the line

To find c substitute either of the 2 points into the partial equation.

Using (7, 4), then

4 = - 28 + c ⇒ c = 4 + 28 = 32

y = - 4x + 32 ← in slope- intercept form

Add 4x to both sides

4x + y = 32 ← in standard form

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