Agroup of workers is harvesting berries at a constant rate an equation that represents the number of baskets of berries the workers picked over a period of time, in hours, is y=2x+15

(a) the slope is 2 and y-intercept is 15

slope is the factor in front of x

y-intercept is obtained by setting x=0: y=2*0+15 = 15

(b) the rate of change (aka slope) is 2 baskets per hour. This means that every additional hour of picking there are 2 more baskets of berries than before. The initial amount is 15. This means that there were 15 baskets of berried picked before starting counting the hours.

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.