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olga2289 [7]
2 years ago
6

What is the point slope form of (7,-4) and (-1,3)

Mathematics
2 answers:
BaLLatris [955]2 years ago
5 0

Answer:

y-3 = -7/8(x+1)

Step-by-step explanation:

The slope of a line given two points is given by

m = (y2-y1)/(x2-x1)

    = (3 - -4)/(-1 -7)

     = (3+4) / (-1-7)

      = 7/ -8

  = -7/8

The point slope form of a line is

y-y1 = m(x-x1)

y - 3 = -7/8( x - -1)

y-3 = -7/8(x+1)

patriot [66]2 years ago
3 0

First, lets find the slope.

Slope Formula: y2-y1/x2-x1

= 3-(-4)/-1-7

= 7/-8

= -7/8

Point slope form: y - y1 = m(x - x1)

We can use one point to substitute y1 and x1 with. We can also substitute m with the slope. Lets use the point (7,-4) and the slope of -7/8 to solve.

y - (-4) = -7/8(x - 7)

y + 4 = -7/8(x - 7)

Best of Luck!

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The relationship between the lengths of the sides of a right triangle are

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Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

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In triangle ΔADC, we have;

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Part C: The length of DB = 9

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In triangle ΔABD, we have;

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Therefore;

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\displaystyle \frac{\overline{DA}}{\overline{DC}}  = \frac{\overline{BD}}{\overline{DA}}

\overline{DA}^2 = \overline{DC} \times \overline{BD}

Which gives;

\overline{DA}^2 = 4 × 9 = 36

\overline{DA} = √(36) = 6

\overline{DA}<u> = 6</u>

Learn more here:

brainly.com/question/2269451

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