Find the equation of the line passing through (2,3) and (1,5)

y =-2x+7

Step-by-step explanation:

Hello : let  A(2,3)    B(1,5)

the slope is :   (YB - YA)/(XB -XA)

(5-3)/(1-2)  = 2/-1 =-2

an equation is : y=ax+b     a is a slope

y = -2x +b

the line through point  (2,3) :  3 = (-2)(2)+b    

b = 7

the equation is : y =-2x+7    

chicken chicken chicken

step-by-step explanation:

b

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

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b