Answer:
y= (-1/2)x+1
Step-by-step explanation:
The general equation of a line in the slope intercept form is y= mx+b, where
m = the slope, and b = y-intercept (where the line crosses the y-axis)
for points (x1 = -6, y1 = 3) and (x2 = -2, y2 = 1)
m= (y2-y1)/ (x2-x1) = (1 - 3)/ (-2 - -6) = -2 / 4 = -1/2
the equation is now y= (-1/2)x+b
substitute the x and y coordinates of any of the points in the equation
for point (-2, 1) we will have 1 = (-1/2)(-2)+b, so b=1
The equation in slope intercept form that contains the points (-6,3) and
(-2,1) is y = (-1/2)x+1
