Which of these numbers is prime? 18, 41, 45, 77, 93

41 is a prime number

Step-by-step explanation:

A prime number is a number that will never be the product of two numbers.

To find the prime number, you can ask yourself if each number is the product of two other numbers.

18: 18 is the product of 6 x 3, or 2 x 9. 18 is not a prime number.

41: 41 is not the product of any two numbers. This means 41 is a prime number.

45: 45 is the product of 9 x 5. 45 is not a prime number.

77: 77 is the product of 7 x 11. 77 is not a prime number.

93: 93 is the product of 31 x 3. 93 is not a prime number.

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