Answer:
2x + 3y = 20
Step-by-step explanation:
Slope of the line is -2/3 . We can use any of the given points to find the equation of the line. Lets use (1, 6)
The general point-slope form of a line is:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Here m is the slope which is -2/3
x1 and y1 are the coordinates of the point. So x1 = 1 and y1 = 6
Using these values, we get:
[tex]y-6=-\frac{2}{3} (x-1)\\\\ 3(y-6)=-2(x-1)\\\\ 3y-18=-2x+2\\\\ 2x+3y=20[/tex]
Answer:
2x + 3y = 20
Step-by-step explanation:
We are given two points: (–2, 8) and (1, 6) and the slope (m) of the line and we are to find the equation of this line.
We know that the standard equation of a line is:
[tex]y=mx+c[/tex]
So we will plug in the given values in the above equation to find the y intercept.
[tex]6=-\frac{2}{3} (1)+c[/tex]
[tex]c=\frac{20}{3}[/tex]
So the equation of this line will be:
[tex]y=-\frac{2}{3} x+\frac{20}{3}[/tex]
or
2x + 3y = 20
