Answer:
Step-by-step explanation:
The general linear equation:
[tex]y = mx+b[/tex], m is slope, b is y-intercept
Plugging the points that satisfy the line:
[tex]3 = 9m + b[/tex]
[tex]-7=-7m+b[/tex]
Subtracting the equations from each other:
[tex]10 = 16m\\m= \frac{10}{16} = \frac{5}{8}\\[/tex]
Plugging m to any of the equations:
[tex]3= \frac{45}{8} + b \\b=-2.625\\[/tex]
Therefore, the equation is:
[tex]y=0.625x-2.625[/tex]
