The equation y + 3 = 5(x - 3)
represents a linear function. what is the y-intercept of the equation?
a. (0, 36)
b. (0, 5)
c. (0, - 18)
d. (0, -72)

C

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 )

Given

y + 3 = 5(x - 3) ← distribute right side

y + 3 = 5x - 15 ( subtract 3 from both sides )

y = 5x - 18 ← in slope- intercept form

with y- intercept c = - 18 ⇒ (0, - 18 ) → C

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

squares, rhombus, rectangles