Answer:
The answer is
[tex] y = - \frac{2}{3} x + 5[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation we must first find the slope of the line.
So the slope of the line using points (-3, 7) and (9,-1) is
[tex]m = \frac{ - 1 - 7}{9 + 3} = - \frac{8}{12} = - \frac{2}{3} [/tex]
Now we use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) is any of the points given
So the equation of the line using point
( - 3 , 7) and slope - 2/3 is
[tex]y - 7 = - \frac{2}{3} (x + 3) \\ y - 7 = - \frac{2}{3} x - 2 \\ y = - \frac{2}{3} x - 2 + 7[/tex]
We have the final answer as
[tex] y = - \frac{2}{3} x + 5[/tex]
Hope this helps you
