Explanation:
The slope-intercept form of the equation of a line is:
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept.
In this problem the slope is 3/7:
[tex]y=\frac{3}{7}x+b[/tex]To find the y-intercept b we have to use the point. Replace x = 14 and y = 3 and solve for b:
[tex]\begin{gathered} 3=\frac{3}{7}\cdot14+b \\ 3=6+b \\ b=3-6=-3 \end{gathered}[/tex]Answer:
The equation is:
[tex]y=\frac{3}{7}x-3[/tex]