Answer:
The point-slope equation of the line is y - 2 = 3(x + 9)
Step-by-step explanation:
The form of the point-slope equation is y - y1 = m(x - x1), where
- m is the slope of the line
- (x1, y1) is a point on the line
∵ The slope of a line is 3
∴ m = 3
∵ The line passes through point (-9, 2)
∵ x1 = -9
∴ y1 = 2
→ Substitute the values of m, x1, and y1 in the point-slope form
∵ y - y1 = m(x - x1)
∴ y - 2 = 3(x - (-9))
→ Remember (-)(-) = (+)
∴ y - 2 = 3(x + 9)
∴ The point-slope equation of the line is y - 2 = 3(x + 9)
Answer:
5x-6y-12=0
Step-by-step explanation:
...make y the subject y=-6/5x +2
...use the coefficient of x as the gradient,m=-6/5
...for a perpendicular line,find the negative reciprocal of the gradient,5/6
...sub into the eqn y= -1/m(x-a)+b
1)
neverminding how many grams or liters...or whatever unit for now
we know one bag of grass covered 1/6 of the lawn, "a whole" or 1, is 6/6
if 1 bag covers 1/6, to cover 6/6 is just 1/6 +1/6 +1/6 +1/6 +1/6 +1/6 , or 6 bags
2)
one can was enough for 1/4 of the sprayer, a full sprayer is 1 whole or 4/4, so 1/4 + 1/4 + 1/4 + 1/4 or 4 cans
3)
one potato gives enough for 1/3 for a lighbulb, again, 1 whole is 3/3, so 1/3 +1/3 +1/3 , so 3 potatoes
.55 is the answer. I hope this helped a great deal!
