Answer:
The slope-intercept form of KL is [tex]y=\frac{2}{3}(x)-7[/tex].
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
The given equation of KL is
[tex]y+3=\frac{2}{3}(x-6)[/tex]
Using distributive property,
[tex]y+3=\frac{2}{3}(x)+\frac{2}{3}(-6)[/tex]
[tex]y+3=\frac{2}{3}(x)-4[/tex]
Subtract 3 from both the sides.
[tex]y=\frac{2}{3}(x)-4-3[/tex]
[tex]y=\frac{2}{3}(x)-7[/tex]
Therefore the slope-intercept form of KL is [tex]y=\frac{2}{3}(x)-7[/tex].
