Part A)
Given
Using the point-slope form of the line equation

where
m is the slope of the line
(x₁, y₁) is the point
In our case:
substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of the line equation


Therefore, the equation in point-slope form for the line having the slope m = 6 and containing the points (7,2) will be:

Part B)
Given
Using the point-slope form of the line equation

where
m is the slope of the line
(x₁, y₁) is the point
In our case:
substituting the values m = -3 and the point (x₁, y₁) = (3, 8) in the point-slope form of the line equation


Therefore, the equation in point-slope form for the line having the slope m = -3 and containing the points (3, 8) will be:
In piecewise linear functions, the endpoint of one segment and the initial point of the next segment can have the same x-coordinate but a different value of f(x).
Such difference in values is called a step or discontinuity and such a function is called a discontinuous function.
Here in this case, there are 3 discontinuities: x=-3, x=3 and x = 5.
x = -3 because x is smaller than or greater than -3 but not equal.
x = 3 since greater than 3 in one of the inequalities.
x = 5 since x is smaller than 5 in one of the limits.
Answer:
530 grams
Step-by-step explanation:
970 grams = 0.970 kg
1 kg = 1000 grams
Thus: 500+30 = 530 grams
Answer:
25%
Step-by-step explanation: