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Write the equation of the line in fully simplified slope-intercept form

Write The Equation Of The Line In Fully Simplified Slopeintercept Form class=

Sagot :

Answer:

y = 3x - 7

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 ) = (3, 2) and (x₂, y₂ ) = (1, - 4) ← 2 points on the line

m = [tex]\frac{-4-2}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3

the line crosses the y- axis at (0, - 7 ) ⇒ c = - 7

y = 3x - 7 ← equation of line

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