Respuesta :
Answer:
y = 1/ 3 x − 1
Step-by-step explanation:
y intercept is -1 and slope is 1/3x
The slope and y-intercept will be [tex]\rm m=\frac{1}{3} \ and \ c=-1[/tex]. The slope and the intercept are found with the help of the standard equation;
What is the slope?
A numerical assessment of a line's angle relative to the ground is known as the slope.
The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.
The given linear equation in the problem is;
[tex]\rm 3x = 9y-9[/tex]
On dividing the whole equation by 3 we will get;
[tex]\frac{1}{3} x=y-1 \\\\ y= \frac{1}{3} x+1[/tex]
Compare the equation with the standard equation;
[tex]\rm y = mx+c[/tex]
Where m is the slope and c is the intercept. After comparing we will get;
[tex]\rm m=\frac{1}{3} \\\\ c=-1[/tex]
Hence the slope and y-intercept will be [tex]\rm m=\frac{1}{3} \ and \ c=-1[/tex].
To learn more about the slope refer to the link;
https://brainly.com/question/3605446
