Respuesta :
Answer:
y=3x-2
Step-by-step explanation:
For this problem, you can use the point-slope formula: y-y1=m(x-x1), with x1 and y1 being from the given coordinate, and m being the slope (which is 3 that can be seen in the equation). Since we're finding a line that is parallel to this line, the slopes of both equations are the same.
y-(1)=3(x-1)
y-1=3x-3
y=3x-2
Check:
(1)=3(1)-2
1=3-2
1=1
[tex]y=3x-2[/tex] is an equation of a line that is parallel to [tex]y = 3x - 9[/tex] and passes through the point [tex](1, 1).[/tex]
What is equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
What is Parallel lines?
In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.
According to question, we have to write an equation of a line that is parallel to [tex]y = 3x - 9[/tex] and passes through the point [tex](1, 1)[/tex]
Since, the line passes through [tex](1,1)[/tex] and have slope[tex]=3[/tex]
So, [tex]y-(1)=3(x-1)[/tex]
⇒ [tex]y-1=3x-3[/tex]
⇒ [tex]y=3x-2[/tex]
Hence, we can conclude that [tex]y=3x-2[/tex] is an equation of a line that is parallel to [tex]y = 3x - 9[/tex] and passes through the point [tex](1, 1).[/tex]
Learn more about Parallel lines here:
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