What is the value of k in y = kx, if y = 12 when x = 24?

the value of k is

k = 1/2

Step-by-step explanation:

from the question y = kx,

where y = 12 and x = 24

we will first of all make k the subject of the formula

y = kx

divide both sides by the coeficient of k which is x

y/x = kx/x

y/x = k k is the constatnt of proportionality

since we are given the value of x and y , we slot it in to determine the value of k.

k = y/x

k = 12/24

k = 1/2

check if your answer is correct , put the value of k into te question and see if LHS = RHS

y = kx

12 = 1/2 × 24

12  = 24/2

12 = 12 PROVED

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form