ANSWER:
[tex]y=-\frac{1}{3}x+3[/tex]EXPLANATION:
Given:
[tex]\begin{gathered} y=-\frac{1}{3}x+5 \\ And\text{ }y-intercept\text{ of }(0,3) \end{gathered}[/tex]To find:
The equation of a line, in slope-intercept form, that is parallel to the above line
Recall that the slope-intercept form of the equation of a line is given as;
[tex]y=mx+b[/tex]where;
m = slope of the line
b = y-intercept of the line
Comparing the given equation with the slope-intercept equation, we can see that the slope(m) is -1/3 and y-intercept(b) is 5.
Note that parallel lines have the same slope. So a line that is parallel to the given line will have the same slope of -1/3.
Given the y-intercept of the parallel line as 3, we can go ahead and write the equation of the parallel line as seen below;
[tex]y=-\frac{1}{3}x+3[/tex]
