Answer:
y = -x + 2
Step-by-step explanation:
The equation of a line in a slope intercept form is given as :
, where m is the gradient and c, y - intercept.
First, let us find the gradient, m of the line that passes through the points, (4,-2) and (-5,7) using the relation ;
By substitution we get
We substitute any of the points and the value of m into y= mx + c to find the value for c.
Adding 4 to both sides.
Hence the equation of the line is :
y = -x +2