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4 years ago

Passing through (-2, -9) and (6, 7) write in slope intercept form

Mathematics

1 answer:

Romashka-Z-Leto [24]4 years ago

8 0

Answer:

y = 2x - 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 )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (6, 7)

m = (7 + 9) / (6 + 2) = 16/8 = 2

y = 2x + c ← is the partial equation

to find c use either of the 2 points

using (6, 7), then

7 = 12 + c ⇒ c = 7 - 12 = - 5

y = 2x - 5 ← equation in slope-intercept form

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