Question

Which equation represents the graphed function?

A. y = 4x – 2
B. y = –4x – 2
C. y =1/4 x – 2
D. y = –1/4 x – 2

Answer 1

Option C represents the graphed function

Answer 2

We can select any two points

and then we can find equation of line

points are (0,-2) and (4,-1)

so,

x1=0 , y1=-2

x2=4 , y2=-1

now, we can use slope formula

`m=(y_2-y_1)/(x_2-x_1)`

now, we can plug values

`m=(-1+2)/(4-0)`

`m=(1)/(4)`

now, we can use point slope form of line

`y-y_1=m(x-x_1)`

we ca plug values

`y+2=(1)/(4)(x-0)`

`y+2=(x)/(4)`

`y=(x)/(4)-2`..............Answer