Answer:
y = 8/3(x) + 9
Step-by-step explanation:
The general equation of a straight line is slope intercept form is;
y = mx + b
where m is the slope and b is the y-intercept
To get the slope, we use the slope equation
we have this as:
m = (y2-y1)/(x2-x1)
(x1,y1) = (-6,-7)
(x2,y2) = (-3,1)
m = (1+7)/(-3 + 6) = 8/3
so we have the equation as;
y = 8/3(x) + b
to get the value of b, we make use of any of the two points
We substitute the coordinates of the two points into the equation
Let us use the point (-3,1)
Thus;
1 = 8/3(-3) + b
1 = -8 + b
b = 1 + 8
b = 9
So the full equation is;
y = 8/3(x) + 9
