Answer:
y = -7x + 27 is the point slope equation that passes through the two points
Step-by-step explanation:
Here, we want to write the equation of the line between (3,6) and (5,-8)
Mathematically, the equation of the line that passes through both points can be represented by ;
y = mx + c
where m is the slope and c is the y-intercept
Let’s find the slope m first;
Mathematically;
slope m = y2-y1/x2-x1
where (x1,y1) = (3,6) and (x2,y2) = (5,-8)
Substitute these values in the slope equation , we have the following;
m = (-8-6)/(5-3) = -14/2 = -7
So the equation becomes;
y = -7x + c
we still need the value of c
To get this, we can substitute any of the points in the equation, where x is the x coordinate of the point and y is the coordinate of the point.
Let’s use (3,6)
Thus we have;
6 = -7(3) + c
c = 6 + 21
c = 27
So the equation becomes;
y = -7x + 27
