Find the equation of the line passing through the points 1,-5) and (9,11). y = 2x + [?]

Mathematics

1 answer:

Naily [24]3 years ago

3 0

Answer:

y = 2x - 7

Step-by-step explanation:

Looks like we already have the slope of this line: It is 2. Working with the point (1, -5), we have x = 1 and y = -5 and can from this info easily find the y-intercept, b:

y = mx + b becomes

y = 2x + b, which in turn becomes

-5 = 2(1) + b, or

b = -7,

and so the desired equation is y = 2x - 7

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Which expression can be simplified to find the slope of the trend line in the scatterplot?

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Answer:

1. $\frac{24-79}{12-2}$

Step-by-step explanation:

We have been given a graph of a scatter-plot and we are asked to find the correct expression than can be solved to find the slope of the trend line in the scatter-plot.

Since we know that slope of a line can be found by dividing the difference of the y-coordinates of 2 points on a line by difference of the x-coordinates of these same points.

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

We can see that (2,79) and (12,24) are two given points of our trend line. So let us substitute x and y-coordinates of our given points in slope formula to find the our desired expression.

$x_1=2$

$x_2=12$

$y_1=79$

$y_2=24$

$\text{Slope}=\frac{24-79}{12-2}$

Therefore, the expression $\text{Slope}=\frac{24-79}{12-2}$ can be solved to find the slope of the trend line in the scatter-plot and 1st option is the correct choice.

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