Question

The black line is the graph of y=x. Which of these equations could represent the blue line.

Answer 1

Last Option is correct. You can see Explanation.

Here we can see that the blue line cuts exactly half way through the angle that the black line makes with x axis

That is all the x values are halved

Which implies all the x value of the black line are divided by 2 to form the points on the blue line

so that give us the function

Read more on Brainly.com - https://brainly.com/question/8462692#readmore

Answer 2

The blue line in the graph represents the equation $y = \frac{1}{2} x$ .

Explanation:

Given - y=x

     Comparing the equation with $y=mx+c$  this equation

We get, m=1 , c=0

The standard form to represent equation of straight line is $y=mx+c$ , where m is slope and c is y- intercept.

As in the given graph, we can see both cuts the y-axis at origin, so there y-intercept of blue line will become 0.

As blue line bisect the black line, the slope of blue line will be half the slope of black line.

Slope of blue line m = $\frac{1}{2}$.

So, the equation of blue line , $y=\frac{1}{2}x+0$

$y=\frac{1}{2} x$