Answer:
2y = x - 7
Step-by-step explanation:
The general equation of the line is;
y = mx + b
where m is the slope and b is the y-intercept
To get the slope, we use the slope formula
m = (y2-y1)/(x2-x1)
(x1, y1) = (3,-2)
(x2,y2) = (1,-3)
m = (-3+2)/(1-3) = -1/-2 = 1/2
So we have the equation as;
y = x/2 + b
Multiply through by 2
2y = x + 2b
To get the y-intercept value, we substitute any of the points
Let us use the first point
While 3 will go for x , -2 will go for y; thus we have;
2(-2) = 3 + 2b
-4 = 3 + 2b
2b = -4-3
2b = -7
b = -7/2
So the equation is;
2y = x -7
