# Which equation represents the line that passes through points (1, –5) and (3, –17)?A. y = -6x + 1B. y = 6x + 1C. y = -6x - 1D. y = 6x - 1

C

Step-by-step explanation:

I’m rusty with my math, so I’m not 100% sure this is correct. My best attempt.

(1,-5) & (3,-17)

1=1x, -5=1y, 3=2x, -17=2y

Formula is y2-y1/x2-x1

-17 - -5 = -12

3 - 1 =2

So -12/2 = -6

Formula for the line is

y-y1 = m (x-x1)

In this equation m=-6

Y - -5 = -6 ( x - 1 )

Step-by-step explanation:

## Related Questions

Match the correct y=mx+b equation to the graph:

pls show work/explanation!

Step-by-step explanation:

Equation of a line

To define the equation of a line, we only need two points through which it passes. The graph shows two clear points to choose: (0,2) and (1,-1)

Set up the equation of the line by using the formula

Operating

Rearranging

A researcher wants to determine if the nicotine content of a cigarette is related to​ "tar". A collection of data​ (in milligrams) on 29 cigarettes produced the accompanying​ scatterplot, residuals​ plot, and regression analysis. Complete parts a and b below. ) Explain the meaning of Upper R squared in this context. A. The linear model on tar content accounts for​ 92.4% of the variability in nicotine content. B. The predicted nicotine content is equal to some constant plus​ 92.4% of the tar content. C. Around​ 92.4% of the data points have a residual with magnitude less than the constant coefficient. D. Around​ 92.4% of the data points fit the linear model.

Option A The linear model on tar content accounts for​ 92.4% of the variability in nicotine content.

Step-by-step explanation:

R-square also known as coefficient of determination measures the variability in dependent variable explained by the linear relationship with independent variable.

The given scenario demonstrates that nicotine content is a dependent variable while tar content is an independent variable. So, the given R-square value 92.4% describes that 92.4% of variability in nicotine content is explained by the linear relationship with tar content. We can also write this as "The linear model on tar content accounts for​ 92.4% of the variability in nicotine content".

The Upper R squared or the coefficient of determination here represents the percentage of the variability in the nicotine content that can be explained by the tar content in the regression model, which in this case is 92.4%.

### Explanation:

In this context, the meaning of Upper R squared is represented by option A. The linear model on tar content accounts for 92.4% of the variability in nicotine content. This indicates that 92.4% of the change in nicotine content can be explained by the amount of tar content based on the linear regression model used. This measure is also known as the coefficient of determination. Meanwhile, options B, C, and D are not correct interpretations of the R squared in this context. Both B and D wrongly relate the percentage to the predictability of the data points and option C incorrectly associates this percentage with the residual magnitude.

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The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is given in seconds and d is measured in meters. Find an expression for the instantaneous velocity v(t) of the particle at any given point in time.

6t^2 + 5

Step-by-step explanation:

i took the test and somehow got it correct:)

Step-by-step explanation:

hello,

hope this helps

What number is bigger 3/4 or 0.75

they are the same.

Step-by-step explanation:

they are equal

Step-by-step explanation:

3/4 is the same thing as 0.75

An automobile engineer is revising a design for a conical chamber that was originally specified to be 12 inches long with a circular base diameter of 5.7 inches. In the new design, the chamber is scaled by a factor of 1.5. What is the volume of the revised chamber? Round your answer to two decimal places.

Volume of a cone = 1/3πr²h
r = 5.7/2 = 2.85
h = 12
Volume of original design =1/3π(2.85)²(12)
= 32.49π
= 102.07.....
Linear scale factor = 1.5 = 3/2
Volumetric scale factor = (3/2)³ = 27/8
Volume of revised design = 102.07..... × 27/8
= 344.487..... ⇒ 344.5 in³