Question

Can someone please answer both these two Algebra questions asap thanks.

Answer 1

Answer:

see explanation

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

(7)

Here m = - 3 and (a, b) = (5, 1), thus

y - 1 = - 3(x - 5) ← equation of line

(8)

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(- 2, 1) and (x₂, y₂ ) = B(- 1, 3)

m = $\frac{3-1}{-1+2}$ = 2

Using any of the 2 points as (a, b)

Using m = 2 and (a, b) = (- 2, 1), then

y - 1 = 2(x - (- 2)), that is

y - 1 = 2(x + 2) ← equation of line