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Maurinko [17]
3 years ago
5

How can I find the line passing through the points (7,16) and (2,-4)

Mathematics
1 answer:
gavmur [86]3 years ago
8 0

We can solve for the line in point-slope form:

  • y-y_1=m(x-x_1)

where (x_1,y_1) is some point the line passes through and m is the slope.

First, to find the equation of any line, we need to find the slope. We can use the following formula to solve for the slope.

  • m = \dfrac{y_2-y_1}{x_2-x_1}

where (x_2,y_2) and (x_1, y_1) are two different points that the line passes through.

Let's use the points we are given, (7,16) and (2,-4)

  • m = \dfrac{16-(-4)}{7-2}
  • =\dfrac{20}{5}=4

The line has a slope of 4, m=4.

Now we can put the value of m=4 into the following equation:

  • y-y_1=m(x-x_1)

However, we still need a value for x_1 and y_1. To determine their values, you can choose any of the two points. I'll be using (7,16).

Thus, x_1=7 and y_1=16. Inserting these values, along with the value for m, into the point-slope form equation gives us:

  • y-16=4(x-7)

This should be the equation of the line passing through points (7,16) and (2,-4).

If you need the line in any of the other forms, such as

  1. Slope intercept form: y=mx+b
  2. or Standard form: Ax+Bx=C,

just use the point-slope form equation I gave and change it so it resembles the form you need. If you need any help with that, I'd be happy to assist you.

Welcome to Brainly and happy studying!

~ Padoru

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