Point of intersection of two lines, please help asap

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(a)

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (10, 0)

m = = - , thus

y = - x + c ← is the partial equation

To find c substitute (10, 0) into the partial equation

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = - x + 2 ← equation of line

(b)

From the equation the y - intercept c = 2, thus

R(0, 2 )