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melamori03 [73]
3 years ago
9

A scatter plot of data comparing the number of years since Holbrook High

Mathematics
1 answer:
kondor19780726 [428]3 years ago
3 0

y=\frac{23}{5} x+\frac{26}{5}

Step-by-step explanation:

Slope intercept form of an equation is written as;

y=mx+b where m is the slope of the line and b is the y-intercept

Given points (3,19) and (8,42) find m as;

m=Δy/Δx

Δy=42-19=23

Δx=8-3=5

m=23/5

Finding the equation of the line where m=23/5, point (3,19) and (x,y)

m=Δy/Δx

23/5=y-19/x-3

cross product

23(x-3) = 5(y-19)

23x-69=5y-95

23x=5y-95+69

23x=5y-26

23x+26=5y

23x/5 +26/5 =5y/5

23/5 x +26/5 =y

⇒⇒   y=23/5x +26/5

Learn More

Slope-intercept form of an equation :brainly.com/question/12005129

Keywords :scatter plot, data, years, line of fit, points

#LearnwithBrainly

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Triangle ABC was dilated with the origin as the center of dilation to create triangle A'B'C'. The triangle was dilated using a s
victus00 [196]

Answer:

A'(-0.25,0.75)\\\\B'(1.75,-0.25)\\\\C'(-1,-0.25)

Step-by-step explanation:

A Dilation is defined as  a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the  dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1,  the image obtained after the  dilation is smaller than the pre-image and it is an "Reduction".

In this case you know that the triangle ABC was dilated by this scale factor:

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Since:

0

It is a Reduction.

You can identify that the vertices of the triangle ABC are:

A(-1,3)\\\\B(7,-1)\\\\C(-4,-1)

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