I’m Doing an escape room for math and I need some help plz!!!!!! (Answer both 1 and 2)

Answer:
#1) 1
#2) 3
Step-by-step explanation:
#1) y = mx + c
m (gradient) = difference of y/difference of x
= 0.5 - (-0.5) / (- 3) - 3
= - 1/6
c (intercept) = (-3,0.5) take any coordinate and substitute
= 0.5 = - 1/6 * - 3 + c
c = 0.5 - 1/2
c = 0
Equation is
y = - 1/6x
#2) slope is the gradient
Gradient = difference of y/difference of x
Gradient = 10- 6/0-24
Gradient = - 1/6
Answer:
1) = y = -1x/6 (1st option)
2) = -1/6 (3rd option)
Step-by-step explanation:
1) = Solution :
(-3,0.5) i can write it as (-3,1/2) and for (3,-0.5) as (3,-1/2)
now
slope(m) = (y2-y1)/(x2-x1)
= (-1/2-1/2)/(3+3)
= -1/6
now
y=mx+c
or, 1/2 = -1/6 × -3 + c
or, 1/2 = 3/6 + c
or, 1/2-1/2 = c
so, c = 0
now
y=mx+c
or, y = -1/6 × x + 0
or, y = -1x/6
For no.1, 1st option is correct.
2) = Solution :
now
slope(m) = (y2-y1)/(x2-x1)
= (6-10)/(24-0)
= -4/24
= -1/6
For no.2, 3rd option is correct.