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Ne4ueva [31]
4 years ago
11

I don’t know how to solve this

Mathematics
2 answers:
Olin [163]4 years ago
8 0

\frac{y - y1}{y2 - y1} =  \frac{x - x1}{x2 - x1}   \\  \frac{y - ( - 3)}{ - 5 - ( - 3)}  =  \frac{x - 8}{0 - 8}  \\  \frac{y + 3}{ - 2}  =  \frac{x - 8}{ - 8}  \\  - 8(y + 3) =  - 2(x - 8) \\  - 8y  - 24 =  - 2x + 16 \\ 2x - 8y = 40

Dmitrij [34]4 years ago
4 0

Answer:

y = \frac{1}{4} x - 5

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)

m = \frac{-5+3}{0-8} = \frac{-2}{-8} = \frac{1}{4}

Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = \frac{1}{4} x - 5 ← equation of line

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