How do u determine the equation of the line through each pair of points in slope-intercept form (y=mx+b). (3,0) and (2,4) (-6,3) and (2,-2)​

Y =-4X +12

Y =-0.625X  -0.75

Step-by-step explanation:

(3,0) and (2,4)

x1y1  x2y2

30  24

(Y2-Y1)(4)-(0)=   4  ΔY4

(X2-X1)(2)-(3)=    -1  ΔX-1

slope=-4          

B=12          

Y =-4X +12    

(-6,3) and (2,-2)​

x1y1  x2y2

-63  2-2

(Y2-Y1)(-2)-(3)=   -5  ΔY-5

(X2-X1)(2)-(-6)=    8  ΔX8

slope=-  5/8    

B=-  3/4    

Y =-0.625X  -0.75    

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.