Select the correct answer. Brianna created a scatter plot and drew a line of best fit, as shown.
What is the equation of the line of best fit that Brianna drew?

The equation of the line of best fit that Brianna drew is: c. y = 2x + 5

Recall:

Thus:

Slope of a line (m) = change in y/change in x

Change in y = 2 units

Change in x = 1 unit

Slope = 2/1 = 2

The y-intercept is the point where the line of best fit intercepts the y-axis which is at y = 5.

y-intercept (b) = 5

Substitute b = 5 and m = 2 into y = mx + b

y = 2x + 5

Learn more about line of best fit on:

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isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough