Answer:

Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to

we have
the points (−1,12) and (1,2)
substitute



step 2
we know that
The equation of the line in slope intercept form is equl to

where
m is the slope
b is the y-intercept
we have


substitute in the linear equation and solve for b


therefore

Answer:
X is 50
Step-by-step explanation:
Width of the reactangle = 38 cm
Minimum perimeter = 692 cm
Let the length of the rectangle be x cm
We know that,
Perimeter of rectangle = 2 * (length + width)
Since the perimeter should be atleast 692 cm. Therefore,
2 * (x + 38) > 692
2x + 76 > 692
2x > 692 - 76
2x > 616
x > 
x > 308
Hence, the length of the rectangle should be more that 308 cms.
Answer:
5. Profit of Rs 1 per lemon
6. Rs 20
Step-by-step explanation:
5. Buy Rs 60 per 12 lemons = Rs 5 per lemon
Sell Rs 30 per 5 lemons = Rs 6 per lemon
Profit Rs 1 per lemon
6. Sell Rs 2500 per 100 pens = Rs 25 per pen
Profit per pen is 20% = (20/100)25 = 5
Cost price of a pen = 25 - 5 = 20