Question

The yellow dot is what i think the y-intercept is? Is that correct? Also, how do i find the slope

Answer 1

@jdoe0001

Answer 2

@mathmale

Answer 3

well, to find the slope, pick any two points from the "best fit line" first
any two points on it :)

Answer 4

@jdoe0001 is this good ?

Answer 5

yes
if I read those two points correctly, those will be 0,0 and 17.5,7
so, to get the slope of that line that goes through (0,0) and (17.5, 7)
\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({\color{red}{ 0}}\quad ,&{\color{blue}{ 0}})\quad
% (c,d)
&({\color{red}{ 17.5}}\quad ,&{\color{blue}{ 7}})
\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies
\cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\)

Answer 6

actually, dohh, hold the mayo. got those fractions a bit off

Answer 7

hmmm

Answer 8

should be rise/run... lemme fix that quick

Answer 9

that is 7/17.5

Answer 10

so

Answer 11

so, that'd be the slope of the "best fit line"

Answer 12

Is that good ?
@jdoe0001

Answer 13

slope is just a scalar value, just a number
not a coordinate
so... you could use \(7\div 17.5\) or use the fraction above of 14/35 :)

Answer 14

lemme fix my typo there

which in short.. will just be \(\bf \Large \cfrac{7}{ 17.5}\) =) anyway
or to put in rational \(\bf \cfrac{7}{\frac{35}{2}}\implies \cfrac{7}{1}\cdot \cfrac{2}{35}\implies \cfrac{14}{35}\impliedby \cfrac{rise}{run}\)