Find the equation of the line parallel to H passes through (-4,2)

y = x +

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 )

Calculate the slope m of H using the slope formula

m =

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

m = =

Parallel lines have equal slopes, thus

y = x + c ← is the partial equation

To find c substitute (- 4, 2) into the partial equation

2 = - + c ⇒ c = 2 + =

y = x + ← equation of parallel line

x/7.50 = 15

x= 7.50 / 15 divide

step-by-step explanation:

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.