Respuesta :
Answer:
The line which is parallel to the given line [tex]y=-\frac{\bf 4}{\bf 3}x+{\bf 1}[/tex] is [tex]y=-\frac{\bf 4}{\bf 3}x+{\bf 2}[/tex]
Step-by-step explanation:
Given that the equation of the line is
[tex]y=-\frac{4}{3}x+1\hfill (1)[/tex]
To find the equation of the line is parallel to the given line equation.
We know that the given equation is in the slope intercept form
y=mx+c where m is the slope and c is the intercept.
Compare with given equation(1) we get
[tex]m=-\frac{4}{3}[/tex] and c=1
Now change the y intercept c=1 to a intercept of c= 2
Therefore (1) becomes
[tex]y=-\frac{4}{3}x+2[/tex]
The above equation of the line is the parallel line to the given equation of the line
