Find the equation of the line with Slope = 5 and passing through (4,24). Write your equation in the form y=mx+b
1 answer:
Answer:
Step-by-step explanation:
We know that we'll have to manipulate the equation , so we can start there.
stands for the gradient of the function (or slope) and
stands for the y-intercept of the function (the y value where the line touches the vertical line (y axis)).
Since we know that stands for the slope and that the slope in this problem is 5, we can plug it into the original equation and we'll get
We also know that this line passes through the point (4,24). This means that it passes through the point where x = 4 and y = 24. If we plug in these values into the equation that we made above, we can solve for b.
Now that we know what b is, we can plug it into and we'll get
Good luck!
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Answer: 8 subsets
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There are n = 3 elements in the given set, so there are 2^n = 2^3 = 2*2*2 = 8 subsets. Those 8 subsets are listed below
{a,b,c}
{a,b}, {a,c}, {b, c}
{a}, {b}, {c}
{ }
The first row is the original set. Any set is a subset of itself.
The second row represents subsets with exactly 2 elements.
The third row represents subsets with exactly 1 element
The fourth row is the empty set which can be written as
----------------------------------------------------------------------
----------------------------------------------------------------------
There are n = 3 elements in the given set, so there are 2^n = 2^3 = 2*2*2 = 8 subsets. Those 8 subsets are listed below
{a,b,c}
{a,b}, {a,c}, {b, c}
{a}, {b}, {c}
{ }
The first row is the original set. Any set is a subset of itself.
The second row represents subsets with exactly 2 elements.
The third row represents subsets with exactly 1 element
The fourth row is the empty set which can be written as