Question

Which equations represent the data in the table? Check all that apply.
y – 6 = y minus 6 equals StartFraction negative 5 Over 4 EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)
y – 2 = –y minus 2 equals negative StartFraction 5 Over 4 EndFraction left-parenthesis x minus 1 right-parenthesis.(x – 1)
y + 2 = y plus 2 equals StartFraction negative 5 Over 4 EndFraction left-parenthesis x minus 6 right-parenthesis.(x – 6)
y – 1 = –y minus 1 equals negative StartFraction 5 Over 4 EndFraction left-parenthesis x minus 2 right-parenthesis.(x – 2)
y – 3.5 = –1.25x

Answer 1

Answer:

a,d,e

Step-by-step explanation:

Answer 2

The equations that represent the table are

• (a) $y - 6 = -\frac 54(x + 2)$
• (d) $y -1 = -\frac 54(x -2)$
• (e) $y -3.5=-1.25x$

What are linear equations?

Linear equations are equations that have constant rates or slopes

From the complete question. the equation of the table is given as:

$y - 6 = -\frac 54(x + 2)$

Add 5 to both sides of the equation

$y - 6 + 5 = -\frac 54(x + 2) + 5$

$y -1 = -\frac 54(x + 2) + 5$

Expand the bracket

$y -1 = -\frac 54x -\frac 52 + 5$

Take LCM

$y -1 = -\frac 54x +\frac {-5 + 10}2$

$y -1 = -\frac 54x -\frac {5}2$

Factorize

$y -1 = -\frac 54(x -2)$

Also, we have:

$y - 6 = -\frac 54(x + 2)$

Open brackets

$y -6 = -\frac 54x -\frac 52$

Express fractions as decimals

$y -6 =-1.25x -2.5$

Add 2.5 to both sides

$y -3.5=-1.25x$

Hence, the equations that represent the table are (a), (d) and (e)

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