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Nastasia [14]
2 years ago
14

Write the slope- intercept form of the equation of the line through (0,3) and (1,1)

Mathematics
1 answer:
PolarNik [594]2 years ago
6 0

Answer:

y = - 2x + 3

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 gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1,1)

m = \frac{1-3}{1-0} = - 2

note the line passes through (0, 3) ⇒ c = 3

y = - 2x + 3 ← equation in slope-intercept form


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