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Ahat [919]
3 years ago
5

Which equation best represents a trend line for the scatter plot?

Mathematics
2 answers:
alukav5142 [94]3 years ago
4 0

Answer:

Option A ic orrect.

y=-\frac{3}{7}x+ 4

Step-by-step explanation:

Point slope form:

The equation of line is given by:

y-y_1=m(x-x_1)      .....[1]

where m is the slope of line and a point (x_1,y_1) lies on the line in the coordinate plane.

As per the statement:

You can see from the graph of line

We have two points i.e,

(0, 4) and (7, 1)

First calculate the slope:

\text{Slope} = \frac{y_2-y_1}{x_2-x_1}

then;

\text{Slope}(m) = \frac{1-4}{7-0} = -\frac{3}{7}

Now, substitute the value of m and (0,4) in [1] we have;

y-4=-\frac{3}{7}(x-0)  

Simplify:

y-4=-\frac{3}{7}x

Add 4 to both sides we get;

y=-\frac{3}{7}x+ 4

Therefore, the equation best represents the trend line for the scatter plot is y=-\frac{3}{7}x+ 4

kvasek [131]3 years ago
3 0
Y = (-3/7)x + 4

Looking at the graph, you can see the trend line plotted. And conveniently, there are a couple of points on the trend line that are indicated. Those points being (0,4) and (7,1). The equation of a line in slope intercept form is:y = ax+b

Looking at the points available, the point (0,4) already gives us the y intercept since x is equal to 0. So our equation becomes:
y = ax + 4

Now we need to determine a which is the slope. The slope is the change in y divided by the change in x. So let's do that
(1-4)/(7-0) = -3/7

And now our equation becomes:
y = (-3/7)x + 4

And given formatting issues, the first option available is the correct one.
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For right now, lets just focus on the first part, 4(q+2)

We can simplify this by distributing(multiplying) the 4 to whats inside the variables.

This will give us 4q+8

now lets add this back to the rest of the equation >>>  4q+8+3q = -27

We can further simplify by adding like terms >>> 7q+8 = -27

subtract the 8 from both sides >>> 7q = -35

now divide both sides by 7 >>> q = -35/7

Therefor q = -5

EDIT* 

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we know that p=q+2

so lets put q in now >>> p=(-5)+2

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I hope this helps:)
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