Question

(05.02 LC)

Which equation does the graph below represent?

y = fraction 1 over 4x
y = 4x y
fraction negative 1 over 4x
y = −4x

Answer 1

y=-4x

Explanation:

WE need to write the equation for the given graph

In the graph y intercept is (0,0)

The equation of linear graph is y=mx+b

where m is the slope and b is the y intercept

From the given graph y intercept is 0 so b=0

to find slope pick two points from the graph

(0,0) and (1, -4)

slope =
`(y_2-y_1)/(x_2-x_1) = (-4-0)/(1-0) = -4`

m=-4 and b=0

So the equation becomes

y= -4x+0

y= -4x