Question

MEDAL AND fan!!!!!!!!!!!
Write the equation of the line that passes through (3, 4) and (2, –1) in slope-intercept form

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({\color{red}{ 3}}\quad ,&{\color{blue}{ 4}})\quad
% (c,d)
&({\color{red}{ 2}}\quad ,&{\color{blue}{ -1}})
\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies
\cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}
\\ \quad \\
% point-slope intercept
y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 2

slope is 5

Answer 3

yeap so use the slope of 5 and plug it in the point-slope form

using the \(x_1\ and\ y_1\) values alongside

Answer 4

the y int is -9

Answer 5

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({\color{red}{ 3}}\quad ,&{\color{blue}{ 4}})\quad
% (c,d)
&({\color{red}{ 2}}\quad ,&{\color{blue}{ -1}})
\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= 5
\\ \quad \\
% point-slope intercept
y-{\color{blue}{ 4}}={\color{green}{ 5}}(x-{\color{red}{ 3}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 6

-11

Answer 7

y= 5x-11 (slope intercept form)

Answer 8

answer should be y=5x-11

Answer 9

Write the equation of the line that passes through (–1, 5) and has a slope of 3 in point-slope form

Answer 10

is it y-5=3(x+1)

Answer 11

follow @jdoe0001