Question

Solve photo question. Mathematics.

Answer 1

Take two points to find the slope
Let;s take (1, -3) and (-3, -1)

Point slope formula is

m =
`(y2-y1)/(x2-x1)`
or
y₂-y₁ = m×(x₂-x₁) Which is the same thing

m =
`(-1-(-3))/(-3-1)`
=
`(2)/(-4)`
It can be simplified:
=
`-(1)/(2)`
Now we found the slope

Same formula:
y₂-y₁ = m × (x₂-x₁)
Substitute the point only (1, -3)
y₂-(-3) =
`-(1)/(2)` × (x₂-1)
y₂ + 3 =
`-(1)/(2)` × (x₂ - 1) (minus minus = plus)

The last option is the answer