Answer:
Yes, Cora is correct.
The equation of line with point (2,6) and slope of line (-1/3)
is x + 3y - 20 = 0
Step-by-step explanation:
Yes, the equation of a line can be written using a point and a slope of the line equation.
Cora has used the POINT SLOPE FORMULA, to represent the line equation.
In Point Slope formula:
The equation with slope m and points (x0,y0) can be written as:
(y-y0) =m (x-x0)
Here, the point (x0,y0) = (2,6)
and slope m = (-1/3)
So, the equation can be written as:[tex]( y - 6) =\frac{-1}{3} (x-2) \\\implies 3( y-6) = (2-x)\\or, 3y - 18 -2 + x = 0\\or, x + 3y - 20 = 0[/tex]
Hence, the equation of line with point (2,6) and slope of line (-1/3)
is x + 3y - 20 = 0
