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

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{-1+2}{4-0}$

$m=\frac{1}{4}$

now, we can use point slope form of line

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

we ca plug values

$y+2=\frac{1}{4}(x-0)$

$y+2=\frac{x}{4}$

$y=\frac{x}{4}-2$..............Answer