Question

find the point-slope form then change to ax + by = c using m=2 and (2,4)

Answer 1

hint:
we can write:
\[y - 4 = 2\left( {x - 2} \right)\]

Answer 2

so, next step is:
\[y - 2 = 2x - 4\]

Answer 3

ok so y-2=2x-4 is the point slope form then? now i need to change it to ax+by= c form how do i do that

Answer 4

subtract \(y\) from both sides, then add \(4\) to both sides

Answer 5

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&({\color{red}{ 2}}\quad ,&{\color{blue}{ 4}})
\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= 2
\\ \quad \\
% point-slope intercept
y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values}\\
\qquad \uparrow\\
\textit{point-slope form}\)