Answer:
C and D
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (9, 3) ← 2 points on the line
m =
=
= 
Using (a, b ) = (9, 3 ) , then
y - 3 =
(x - 9) → C
Using (a, b ) = (- 3, - 6 ), then
y - (- 6) =
(x - (- 3) ) , that is
y + 6 =
(x + 3) → D
In y = mx + b form, the slope is in the m position and the y intercept is in the b position.
5x + 2y = 8
2y = -5x + 8
y = -5/2x + 8.....slope (m) is -5/2
3x - 7y = 10
-7y = -3x + 10
y = 3/7x - 10/7.....y int (b) = -10/7
so ur equation with slope(m) of - 5/2 and y int (b) of -10/7 is :
y = -5/2x - 10/7 <== slope intercept form