Answer:
y=-¼x+⁴⁴/8
Explanation:
p(2,-6). Q(-6-4)
p (x¹,y¹). Q(x²,y²)
1) find the gradient(slope)
gradient=y²-y¹
x²-x¹
gradient = -4-(-6)
-6-2
gradient= -4+6
-6-2
gradient=²/-8
2)equation is supposed to be in the form of y=mx+c
where m is the gradient
thus.
gradient=y²-y¹
x²-x¹
when finding the equation we only use one of the values of the coordinates leaving the other as an unknown value.
2 = y-(-4)
-8 x-(-6)
2 =y+4
-8. x+6
remove the denominators by cross multiplying that is:
2(x+6)= -8(y+4)
2x+12= -8y-32
express in the format y=mx+c
2x+12+32=-8y
2x+44=-8y.
divide all sides by -8 to remain with y
²/-8x+⁴⁴/-8=y
-¼x+ -⁴⁴/8=y
y=-¼x-⁴⁴/8