Dennis drew the line of best fit on the scatter plot shown below:

What is the approximate equation of this line of best fit in slope-intercept form?
y = −15x + 2/3
y = -2/3 x + 15
y = −15x + 3/2
y = -3/2 x + 15

Dennis drew the line of best fit on the scatter plot shown below What is the approximate equation of this line of best fit in slopeintercept form y 15x 23 y 23 class=

Respuesta :

Answer:

4th option

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 ) = (2, 12) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = [tex]\frac{6-12}{6-2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]

the line crosses the y- axis at (0, 15 ) ⇒ c = 15

y = - [tex]\frac{3}{2}[/tex] x + 15 ← approximate equation of line of best fit

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