Answer:
[tex]y=-\frac{2}{3}x+1[/tex]
Step-by-step explanation:
Let the equation of the line given in the graph is,
y = mx + b
Where 'm' is the slope of the line
And 'b' represents the y-intercept
Since slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is modeled by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
If this line passes through (-3, 3) and (3, -1),
m = [tex]\frac{3+1}{-3-3}[/tex]
m = [tex]-\frac{4}{6}[/tex]
= [tex]-\frac{2}{3}[/tex]
And 'b' = 1
Equation of this line will be,
[tex]y=-\frac{2}{3}x+1[/tex]
