Question

help :(

Answer 1

you in flvs

Answer 2

Look at the two points (x=1,y=5) and (x=5, y=10). The ratio of the change in y to the change in x is (10-5)/(5-1)= 5/4. Now try calculating the same thing for a couple of other points on the list. If you always get the same answer then the data set is linear with
slope equal to 5/4. (Which means the answer is a, b, or c)

Now take any point (x=1,y=5), and put iy into the equations listed for a,b, and c. If the two sides are equal, that's the answer you want.

Answer 3

aha c

Answer 4

but a works too, try another point to choose between a and c(my bad)

Answer 5

only a
y-y1={(y2-y1)/(x2-x1)}(x-x1)

Answer 6

if we were to pick say the 2 points of (1,5) and (5, 10) then \(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 1}}\quad ,&{\color{blue}{ 5}})\quad &({\color{red}{ 5}}\quad ,&{\color{blue}{ 10}})
\end{array}
\\\quad \\

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}}}
\\ \quad \\

y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\\
\qquad \uparrow\\
\textit{point-slope form} \)