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3 years ago

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

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2 years ago

What is the value of x?

Mrrafil [7]

Answer:

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

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3 years ago