Aline passes through the points (1, 2) and (4, 4). what is the slope of the line? a) 1 /4 b) 2 /3 c) 3/ 2 d) 4

Hello!

To find the slope given two points, we will need to use the slope formula.

Slope formula is .

First, we should assign the given points to x1, y1 and x2, y2. The points (1, 2) can be assigned to x1, y1 and (4, 4) to x2, y2.

Now, substitute the assigned ordered pairs into the formula and simplify.

Therefore, the slope of the line is choice B, 2/3.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.