Answer :
Answer:
The equation of line is y= [tex]\dfrac{2}{3}[/tex] x - 7
Step-by-step explanation:
Given as :
The points as [tex]x_1[/tex] = 6
And [tex]y_1[/tex] = - 3
The slope of the line = m = [tex]\dfrac{2}{3}[/tex]
Now, The equation of line in slope-point form
y - [tex]y_1[/tex] = m × (x - [tex]x_1[/tex])
Or, y - (-3) = [tex]\dfrac{2}{3}[/tex] × (x - 6)
Or, y + 3 = [tex]\dfrac{2}{3}[/tex] × (x - 6)
Or, 3 × (y + 3) = 2 × (x - 6)
Or, 3 y + 9 = 2 x - 12
Or, 3 y = 2 x - 12 - 9
Or, 3 y = 2 x - 21
∴ y = [tex]\dfrac{2}{3}[/tex] x - [tex]\dfrac{21}{3}[/tex]
i.e y = [tex]\dfrac{2}{3}[/tex] x - 7
So, The equation of line = y = [tex]\dfrac{2}{3}[/tex] x - 7
Hence, The equation of line is y= [tex]\dfrac{2}{3}[/tex] x - 7 Answer