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Answered

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Given the line below.



Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (-2, -1). Use the box provided to submit all of your calculations and final answers.

Given The Line Below Write The Equation Of The Line In Pointslope Form Identify X1 Y1 As The Point 2 1 Use The Box Provided To Submit All Of Your Calculations A class=

Sagot :

Answer:

y + 1 = [tex]\frac{1}{2}[/tex] (x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁ ) a point on the line

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, - 1 ) and (x₂, y₂ ) = (2, 1 )

m = [tex]\frac{1-(-1)}{2-(-2)}[/tex] = [tex]\frac{1+1}{2+2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] and (x₁, y₁ ) = (- 2, - 1 ) , then

y - (- 1) = [tex]\frac{1}{2}[/tex](x - (- 2) ) , that is

y + 1 = [tex]\frac{1}{2}[/tex] (x + 2)

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