Answer:
[tex]y = \frac{3}{5} x - \frac{38}{5} [/tex]
Step-by-step explanation:
[tex]y = mx + b[/tex]
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{ - 4 - - 7}{6 - 1} [/tex]
[tex]m = \frac{3}{5} [/tex]
substitute any coordinate pair into y= mx + b
I chose (1,-7)
[tex] - 7 = \frac{3}{5} \: (1)+ b[/tex]
[tex]b = - 7 - \frac{3}{5} [/tex]
[tex]b = - \frac{38}{5} [/tex]
[tex]y = \frac{3}{5} x - \frac{38}{5} [/tex]
