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AVprozaik [17]
3 years ago
13

Find the equation of the straight line through (3,4) and (5,6).

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

y= x+1

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Gradient of line = \frac{y1 - y2}{x1 - x2}

Using the above formula,

Gradient

=  \frac{6 - 4}{5 - 3}  \\  =  \frac{2}{2}   \\ = 1

Thus m=1. Substitute m=1 into the equation:

y= 1x +c

y= x +c

Susbt. a coordinate.

When x=3, y=4,

4= 3 +c

c= 4-3

c=1

Thus, the equation of the line is y= x+1.

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4 years ago
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Answer:

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Step-by-step explanation:

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tensa zangetsu [6.8K]
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it has to be quadratic with an x^2 since it has 2 roots. So we will write basic formula

y = (x + a) (x + b)

in this basic quadratic the opposite of a and b will be roots. this means negative a and negative b are roots or -a and -b are roots.

so we can fill in our roots for a and b if we want but.remember we.have to use the opposite of.our roots because we.use -a and -b.

so let's fill in our opposite.roots for.a and.b

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since I have two negatives in front of the 1/3 it becomes positive.. So

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7 0
3 years ago
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Therefore we have the equation:

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