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OpenStudy (anonymous):
what is the equation in slope-intercept form for the line that passes through points (-1,3) and (-2,-3)?
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OpenStudy (anonymous):
find slope
OpenStudy (anonymous):
y=mx+b is the formula for slope intercept form
OpenStudy (anonymous):
(y2-y1)/(x2-x1)
OpenStudy (anonymous):
m is slope, ^^ using that you get -6
OpenStudy (anonymous):
(-3-3)/(-2--1)=-6/-1=6
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OpenStudy (jdoe0001):
\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -1}}\quad ,&{\color{blue}{ 3}})\quad &({\color{red}{ -2}}\quad ,&{\color{blue}{ -3}})
\end{array}
\\\quad \\
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}
\\ \quad \\
y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form}\)
OpenStudy (anonymous):
my bad 6 lol
OpenStudy (anonymous):
y=6(x)+b
3=6(-1)+b
3=-6+b
9=b
OpenStudy (anonymous):
y=6x+9
OpenStudy (anonymous):
now plug in one of the coordinate sets to check
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OpenStudy (anonymous):
Qué entiende mi bebé?
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
help me please
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