Question

To solve the equation 5x−1=4x−8 , Sasha graphs the functions f(x)=5x−1 and g(x)=4x−8 on the same set of coordinate axes.

Which statement describes the solution of the equation ​ 5x−1=4x−8 ?


The solution of the equation is the y-intercept of the linear equations.

The solution of the equation cannot be found graphically. Sasha should solve the equation algebraically.

The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.

The solution of the equation is the y-coordinate of the ordered pair where the graphs of the two functions intersect.

Answer 1

The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.

Explanation:

These two lines do intersect and do not have the same y intercept so it cannot be the first two options

And since the problem is in term of x only, the third option is true

Answer 2

The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.

EXPLANATION

The given functions are:

f(x)=5x-1

g(x)=4x-8

To solve the equation 5x−1=4x−8 graphically, we need to graph f(x)=5x-1 and g(x)=4x-8 on the same graph sheet.

The x-coordinates of the point of intersection of the graphs of the two functions is the solution to the equation:

5x−1=4x−8

The third choice is correct.