Question

PLEASE HELP ME ANSWER THE QUESTIONNN

X | Y

————

32 | 22

48 | 17

64 | 12


What is the y-intercept of the line?

Answer 1

The y-intercept of the line is 32

Step -by -step explanation :

The general form of equation of a line that will pass through the three points is:

y=mx+c

where m is the gradient and c is the y-intercept

Now, find the gradient.

`m = (y_1 - y)/(x _1- x)`

Take,

`x= 32`

`y=22`

`x _1=48`

`y_1 = 17`

By substitution,

`m = (17- 22)/(48- 32)`

`m = - (5 )/(16)`

we now put the values of m, x and y into the general equation to find the c

`22= - (5)/(16)(32)+ c`

`22= - 5(2)+ c`

`22 + 10 = c`

`c = 32`

Hence the y-intercept of the line is 32