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Ivenika [448]
3 years ago
15

An equation in point slope form (2,1) and has a slope of m=2

Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0

Answer:

y=2x-3

Step-by-step explanation:

<em>Since we know that the slope-intercept form is </em><em>y=mx+b</em><em>, we can plug in the formula with what we already know to find b!</em>

<em>In the coordinates (2,1): </em>

  • 2 is the x
  • 1 is the y

<em>Now, we will plug these numbers in:</em>

1=2*2+b

1=4+b

b=-3

<em>Now we can rewrite the equation since we found b:</em>

y=2x-3

Hope this helped! :)

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Q1)

Rx = 3

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A(2,-5)- x coordinate is 2, its 1 unit away from x=3, it should move by 1 unit to the other side of x = 3, then x = 4. y stays as it is.

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C(3,1) = distance from 3 = 0, therefore the point stays at is,

C' (3,1)


Q2)

next is a translation, in translation the size nor shape changes, each point in the original image moves the same distance in the same direction.

T (3,-6) (x,y) = this means that the x coordinates move by +3 points to the right and y coordinates move downwards by 6 units

A (2,-5) ---> (2+3,-5-6)

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B (-4,6) ---> (-4+3,6-6)

B' (-1,0)

C (3,1) ---> (3 + 3, 1-6)

C' (6,-5)


Q3)

r(90°,0)

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then the x, y coordinates of the preimage become ;

(x,y) = (y,-x)

A(2,-5) --> A' = (-5,-2)

B(-4,6) ---> B' = (6,4)

C(3,1)  ---> C' = (1,-3)

:/

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