The given line that passes through the points (7,-4) and (-1,3).
The slope is
[tex]m = \frac{3 - - 4}{ - 1 - 7} = - \frac{7}{8} [/tex]
The point-slope form is obtained using:
[tex]y-y_1= m (x-x_1) [/tex]
When (7,-4) is used the point-slope form is
[tex]y + 4= - \frac{7}{8} (x - 7) [/tex]
We expand now to get;
[tex]y = - \frac{7}{8}x + \frac{49}{8} - 4[/tex]
This implies that,
[tex]y = - \frac{7}{8}x + \frac{17}{8}[/tex]
