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A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?
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Sagot :

Answer:

y =  3x + 4

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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 10 )

m = [tex]\frac{10-4}{2-0}[/tex] = [tex]\frac{6}{2}[/tex] = 3

The y- intercept c = 4

y = 3x + 4 ← equation of line

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