In general, the equation of a line has been drawn as y=mx+c where m is the pathway and c is the y-intercept. When an equation is in that form, m is provided to a slope of the line, and the y-intercept is at c, and the further calculation can be defined as follows:
Given:
[tex]\bold{Point: \ (0, 1)}\\\\ \bold{ Slop: \ -\frac{1}{3}}[/tex]
To find:
equation of a line=?
Solution:
Formula:
When one point (0,1) and slop [tex]\bold{-\frac{1}{3}}[/tex] is given then:
[tex]\to \bold{y-y_1=m (x-x_1)}\\[/tex]
[tex]\to\bold{ y-1= -\frac{1}{3} (x-0)}\\\\\to\bold{ y-1= -\frac{1}{3} (x)}\\\\\to\bold{ y= -\frac{1}{3}x +1}\\\\[/tex]
Therefore, the final answer is "Option b".
Learn more:
brainly.com/question/14082368
