mameredith
Answered

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Does anyone know the pattern to this? Does anyone also know the slope to it and where the line intersects at the y-axis and the equation of the line?

Does Anyone Know The Pattern To This Does Anyone Also Know The Slope To It And Where The Line Intersects At The Yaxis And The Equation Of The Line class=

Sagot :

Answer:

see explanation

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 ) = (1, 3) and (x₂, y₂ ) = (3, 7) ← 2 ordered pairs from the table

m = [tex]\frac{7-3}{3-1}[/tex] = [tex]\frac{4}{2}[/tex] = 2

The line crosses the y- axis at (0, 1 ) ← from table

Then c = 1

y = 2x + 1 ← equation of line

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