Mathematics, 18.10.2019 00:30, ssssss190

Which equation describes a line with a slope of 1 and includes the point (1,2)

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There are several different forms for the equation of a line. Point-Slope works pretty well for this one.

Remember, point-slope form looks like this:

$(y - y_{1}) = m(x - x_{1})$

Where the _1 means you sub in a point that matches that coordinate.
(x,y)

m, is the slope.

So an equation of the line would look like this:
(y - 2) = 1(x - 1)

The times 1 slope is implied, so you could also write it as:
(y - 2) = (x - 1)

(Removing the parenthesis is also acceptable, in this case)

Let's say you were not given it in point slope form. Then let's take the point slope form we made and put it into the slope intercept form by solving for y.

y -2 = x - 1

Solve for y by adding 2 on both sides.

y - 2 + 2 = x - 1 + 2

y = x + 1

Once again the 1 slope is implied. So these are both acceptable forms. I hope this helps!

answered: Guest

Subtracting is the opposite of adding

answered: Guest

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

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Which equation describes a line with a slope of 1 and includes the point (1,2)...