In a study on speed and braking distance, researchers looked for a method to estimate how fast a person was traveling before an accident by measuring the length of the skid
marks. They found the line of best fit to be y = 6.451x-151.900 where x is how fast the car is
traveling and y is the braking distance.
5. What does the slope tell you about miles per hour and the braking distance?
1
6. What does the line of best fit tell you about the y-intercept?

$4

step-by-step explanation:

$30×5=$150

$150 minus $130=$20

$20÷5=$4.

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so, converting firstly the mixed fractions to improper fractions and then "adding".

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form