Question

Its early and i want to go back to sleep so pls help

Answer 1

Explanation:

equation for a gradient is

m=(y¹-y²)/(x¹-x²)

again the ¹&² are not powers

so (x¹,y¹) and (x²,y²) would be

(-1,6) and (4,-4) respectively

so the gradient would be

(6+4)/(-1-4)

=-2

so the ans is

2=(y¹-y²)/(x¹-x²)

y¹-y²=2(x¹-x²)

y-6=2(x+4)

Note that I put (x, y) into (x¹,y¹)

and (-1,6) into (x²,y²)

(x²,y²) can also be (4,-4), which would lead to the same answer, as theyre the dots on the SAME line

For question 8, try to follow my steps, and figure out the gradient of the graph first, so u can understand what u should do when u see these kinds of questions

Answer 2

(-1,6) and (4,-4)= y - 6 = -2 × (x+1)

(-2,2) and (6,6)= y - 2 = 1/2 × (x+2)

Explanation:

Because the point slope formula for equations is y - y = m (x - x1)