Question

Describe how the graphs of y=x and y=x-15 related

Answer 1

Answer:

y = x y y = x-15 will be parallel lines

Step-by-step explanation:

It is called linear equation or first degree equation, a raised equality that involves the presence of one or more variables that are only raised to the first power (that is, the exponent of the variables is one).

The pending-ordered form at the origin of the linear equations in the case of having two variables is:

y=m*x+b

where "x" e "y" are the variables, m is the slope and b is the intersection with the axis "y", also called ordered to the origin.

This type of equation graphically represents a line.

In this case you have the following equations:

• y=x
• y=x-15

When comparing with the equation of a line, you can observe the values ​​of the slope and the ordinate, which in each case are the following:

• m=1; b=0
• m=1; -15

On the other hand, parallel lines are those lines that are in the same plane and never intersect. That is to say that despite prolonging their trajectory to infinity, they never meet or touch at any point; they have no common point. For two lines to be parallel, it must be fulfilled that the lines have the same and different slopes ordered at the origin.

Note that this is what happened in this case: in both lines the slope is 1; but in the case of y = x the ordinate is 0 and in y = x-15 the ordinate is -15. This means that two parallel lines will be graphically observed. You can see this in the attached image.

Answer 2

They have the same slope
in y=mx+b form
m=slope
b=y-intercept
the equations are
y=1x+0 and y=1x-15
the slopes are the same, the y intercepts are the ones that changed
since they have the same slope, they are paralel to each other