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skad [1K]
3 years ago
10

What is the slope- intercept equation of the line that passes through(0,2) and (6,6)?

Mathematics
2 answers:
charle [14.2K]3 years ago
8 0

Answer:

y=2/3x+2

Step-by-step explanation:

(0,2) (6,6)=6-2/6-0=4/6 or 2/3,the slope is used to find the rise over run.and the y-intercept is when is 0 and y is another number.

Vsevolod [243]3 years ago
7 0

Answer:

y = 2/3x +2

Step-by-step explanation:

First we need to find the slope

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

    = (6-2)/(6-0)

    =4/6

   =2/3

The slope intercept form of the equation for a line is

y= mx+b

y =2/3 x +b

We know the y intercept is 2  (the y intercept is when x=0)

y = 2/3x +2

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A triangle has a base of 54 cm. The height is unknown. Complete the equation that can be used to find the area, A, of the triang
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Answer:

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Your classmate is telling you how they plan to become financially secure.
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Read 2 more answers
A rectangle has vertices E(-4, 8), F(2, 8), G(2, -2) and H(-4, -2). The rectangle is dilated with the origin as the center of di
Marizza181 [45]

Answer:

The dilation on any point of the rectangle is P'(x,y) = \frac{5}{2}\cdot P(x,y).

Step-by-step explanation:

From Linear Algebra, we define the dilation of a point by means of the following definition:

G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)] (1)

Where:

G(x,y) - Coordinates of the point G, dimensionless.

O(x,y) - Center of dilation, dimensionless.

k - Scale factor, dimensionless.

G'(x,y) - Coordinates of the point G', dimensionless.

If we know that O(x,y) = (0,0), G(x,y) =(2,-2) and G'(x,y) =(5,-5), then scale factor is:

(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]

(5,-5) = (2\cdot k, -2\cdot k)

k = \frac{5}{2}

The dilation on any point of the rectangle is:

P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]

P'(x,y) = \frac{5}{2}\cdot P(x,y) (2)

The dilation on any point of the rectangle is P'(x,y) = \frac{5}{2}\cdot P(x,y).

5 0
2 years ago
What is the value of x?
Mrrafil [7]

Answer:

3

Step-by-step explanation:

Triangles with the same shape but different size are proportional. Proportional means that their side lengths form equal ratios. To solve for x, set up a proportion.

The ratios we will create will be \frac{long}{short} =\frac{long}{short} where each long and short are corresponding sides from each triangle.

So write:

\frac{4}{x} =\frac{3}{2.25}

To solve, cross multiply numerator with denominator.

4(2.25) = 3(x)

9 = 3x

3 =x

5 0
3 years ago
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