Of the following equations below, which equation represents a direct variation between x and y?
select one:
a. 2y = 3x −7
b. y −4 = x +6
c. y +3 = x +3
d. 4y +1 = 4x−1

C. y +3 = x +3

Step-by-step explanation:

We need to find in below option x has direct variation with y.

We solve for each;

A.

From above equation we can state that 2 times y is equal to 7 less than 3 times of x.

Hence it doesn't represent direct variation.  

B.

Solving above expression we get;

From above equation we can state that y is equal to 10 more than x.

Hence it doesn't represent direct variation.

C.

Solving above expression we get;

From above equation we can state that y is equal to x.

Hence it represent direct variation.

D.

Solving above expression we get;

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.

Hence it doesn't represent direct variation.

Hence the Answer which represent direct variation of x and y is,

C.

1010: 3030

is it i think

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b