Question

Choose the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).

y + 3 = -5(x - 2)

y - 2 = -5(x + 3)

y + 3 = -one fifth(x - 2)

y - 2 = -one fifth(x + 3)

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -3}}\quad ,&{\color{blue}{ 2}})\quad &({\color{red}{ 2}}\quad ,&{\color{blue}{ 1}})
\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 \textit{plug in the values}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 2

y-4=M(x-(-3))?

Answer 3

yes.... .m = slope
just get the slope and "stick it" in there :)

Answer 4

well.... hmm when using the coordinates
you'd want to use the coordinates from the same point

Answer 5

1-2/2-(-3)

Answer 6

-1/5?

Answer 7

so if you use -3, you'd need to use 2
if you use 2, you'd need to use 1

or if you use the "x" of the 1st point, you'd have to use the "y" for the same 1st one

Answer 8

yeap -1/5 = m= slope

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -3}}\quad ,&{\color{blue}{ 2}})\quad &({\color{red}{ 2}}\quad ,&{\color{blue}{ 1}})
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{1}}-{\color{blue}{ 2}}}{{\color{red}{ 2}}-{\color{red}{ (-3)}}}\implies \cfrac{-1}{2+3}\implies -\cfrac{1}{5}
\\ \quad \\

y-{\color{blue}{ 2}}={\color{green}{ -\cfrac{1}{5}}}(x-{\color{red}{ (-3)}})\qquad or
\\ \quad \\
y-{\color{blue}{ 1}}={\color{green}{ -\cfrac{1}{5}}}(x-{\color{red}{2}})\)

Answer 9

y-2=-1/5(x-(-3))

Answer 10

or y-2=-5(x+3)

Answer 11

yeap well \(\bf
y-{\color{blue}{ 2}}={\color{green}{ -\cfrac{1}{5}}}(x-{\color{red}{ (-3)}})\implies y-{\color{blue}{ 2}}={\color{green}{ -\cfrac{1}{5}}}(x+{\color{red}{ 3}})\)

Answer 12

-1/5=-5

Answer 13

simplifies it

Answer 14

s###

Answer 15

no it doesnt

Answer 16

dur

Answer 17

hmm \(\bf -\cfrac{5}{1}\iff -5\qquad \qquad -\cfrac{1}{5}\iff -\cfrac{1}{5}\)

Answer 18

welp, Thanks alot man

Answer 19

g2g

Answer 20

yw