Instructions in photo plz help

YS = 2/3 × ( YV ) *.&.* SV = 1/3 × ( YV )

YS = 2/3 × ( YV )

4x + 14 = 2/3 × ( YV )

Multiply both sides by 3/2

( 4x + 14 ) × 3/2 = ( YV ) × 2/3 × 3/2

YV = 6x + 21 ( ☆ )

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SV = 1/3 × ( YV )

1 + 3x = 1/3 × ( YV )

Multiply both sides by 3

( 1 + 3x ) × 3 = ( YV ) × 1/3 × 3

YV = 9x + 3 ( ♡ )

YV = YV

( ☆ ) = ( ♡ )

6x + 21 = 9x + 3

Subtract both sides 3

6x + 21 - 3 = 9x + 3 - 3

6x + 18 = 9x

Subtract both sides 6x

6x - 6x + 18 = 9x - 6x

18 = 3x

Divide both sides by 3

18 ÷ 3 = 3x ÷ 3

x = 6

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YV = 6x + 21 = 9x + 3

YV = 6(6) + 21 = 9(6) + 3

YV = 57

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)