#### Answer

$7x-5y=-20$

#### Work Step by Step

Using $y-y_1=m(x-x_1)$ or the point-slope form of linear equations, the equation of the line passing through $(
2,6.8
)$ and with a slope of $m=
1.4
$ is
\begin{array}{l}\require{cancel}
y-6.8=1.4(x-2)
.\end{array}
In the form $y=mx+b$, the equation above is equivalent to
\begin{array}{l}\require{cancel}
y-6.8=1.4x-2.8
\\\\
y=1.4x-2.8+6.8
\\\\
y=1.4x+4
.\end{array}
In the form $Ax+By=C$, the equation above is equivalent to
\begin{array}{l}\require{cancel}
y=1.4x+4
\\\\
-1.4x+y=4
\\\\
1.4x-y=-4
\\\\
10(1.4x-y)=(-4)10
\\\\
14x-10y=-40
\\\\
\dfrac{14x-10y}{2}=\dfrac{-40}{2}
\\\\
7x-5y=-20
.\end{array}
Hence, the different forms of the equation of the line with the given conditions are
\begin{array}{l}\require{cancel}
\text{slope-intercept form: }
y=1.4x+4
\\\\
\text{standard form: }
7x-5y=-20
.\end{array}