Which is an equation of the line that goes through the points ( 4, 1) and

Mathematics

1 answer:

Aloiza [94]3 years ago

5 0

Answer:

none of the above

Step-by-step explanation:

You can try the points in the equations (none works in any equation), or you can plot the points and lines (see attached). You will not find any of the offered answer choices goes through the given points.

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You can start with the 2-point form of the equation of a line. For points (x1, y1) and (x2, y2) that equation is ...

y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Filling in the given points, we get ...

y = (3 -1)/(2 -4)·(x -4) +1

y = 2/(-2)(x -4) +1 . . . . . simplify a bit

y = -x +4 +1 . . . . . . . . . simplify more

y = -x +5 . . . . . . . . . . . slope-intercept form

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how do you solve a system of equations approximately given tables without using equations or graphing?

solong [7]

system of equations means that we have a given number of equations with the same solutions.

If you only have tables, this means that you need to have one table for each equation:

For example, if you are working only with two variables, x and y, in those tables you can see the pints (x, y) that belong to each equation.

Now, a point (x, y) will be a solution of the system of equations only if it belongs to the data table for each equation

This would mean that if you graph those data sets, the graphs will intersect at the point (x, y) that belongs to all the tables of data.

another way may be using the data in the tables to construct the equations, but you said that you only want to use the tables, so this method can be discarded.

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UkoKoshka [18]

Answer:

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