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malibu777
15.01.2020 •
Mathematics
Pls will give brainlist
identify which table represents the equation, y = 3x + 2, end it supported with the correct reasoning.
a. table 2 because when finding the slope between (2,8) and (-4,-10) you get 3. then substituting (2,8) in gives you a y intercept of 2 and this works for all points.
b. both table 1 and 2 work for the equation for all points
c. none, both table 1 and 2 have coordinate points that do not lie on the line of the equation.
d. table 1 because when substituting (-1,-1) it makes both sides of the equation equal and so do the other points in the table.
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Ответ:
A
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 )
Table 1
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (5, 11) ← 2 ordered pairs from the table
m =
=
= 2, thus
y = 2x + c ← is the partial equation
To find c substitute (5, 11) into the partial equation
11 = 10 + c ⇒ c = 11 - 10 = 1
y = 2x + 1 ← equation representing Table 1
Table 2
let (x₁, y₁ ) = (2, 8) and (x₂, y₂ ) = (- 4, - 10)
m =
=
= 3, thus
y = 3x + c ← is the partial equation
To find c substitute (2, 8) into the partial equation
8 = 6 + c ⇒ c = 8 - 6 = 2
y = 3x + 2 ← equation representing Table 2
Ответ: