Answer:
[tex]y= -\frac{2}{3}x-11[/tex]
Step-by-step explanation:
Th equation of line is given by:
[tex]y = mx+b[/tex]
where, m is the slope and b is the y-intercept.
As per the statement:
Given the point slope form equation:
[tex]y+7 = -\frac{2}{3}(x+6)[/tex]
Using distributive property, [tex]a \cdot(b+c) = a\cdot b+ a\cdot c[/tex]
[tex]y+7 = -\frac{2}{3}x-4[/tex]
subtract 7 from both sides we have;
[tex]y+7-7= -\frac{2}{3}x-4-7[/tex]
Simplify:
[tex]y= -\frac{2}{3}x-11[/tex]
Therefore, a linear function represents the line given by the point-slope equation is, [tex]y= -\frac{2}{3}x-11[/tex]
