Question

Dennis drew the line of best fit on the scatter plot shown below:

What is the approximate equation of this line of best fit in slope-intercept form?
y = −15x + 2/3
y = -2/3 x + 15
y = −15x + 3/2
y = -3/2 x + 15

Answer 1

4th option

Explanation:

the equation of a line in slope- intercept form is

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

calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (2, 12) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m =
`(6-12)/(6-2)` =
`(-6)/(4)` = -
`(3)/(2)`

the line crosses the y- axis at (0, 15 ) ⇒ c = 15

y = -
`(3)/(2)` x + 15 ← approximate equation of line of best fit