Answer:
y=3/4 *x
Step-by-step explanation:
1. the given equation is the equation of line in slope-interception form (y=kx+b), where 3/4 is 'k' and (-4) is 'b'.
2. if the system of the two equations has no solution, it means, the 2d line is parallel to the given one, then 'k' of the 2d line is the same value.
3. common view of the equation of the 2d line is y=3/4 *x+b, where 'b' is number. For example, y=3/4x; y=3/4 *x+1; y=3/4 *x-5/8, etc.
One example of a linear function that generates a system without a solution is given by:
[tex]y = \frac{3}{4}x + 5[/tex]
A linear function is modeled by:
y = mx + b
In which:
If two equations have the same slope but different intercepts, they never intersect each other, that is, a system without solutions is generated. Hence, one possible example in this problem is given by:
[tex]y = \frac{3}{4}x + 5[/tex]
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ2
