Answer
The slope-intercept form of the equation of the line with a slope of 1/4 and y-intercept at the origin:
[tex]y=\frac{1}{4}x[/tex]
Step-by-step explanation:
Given
- The y-intercept is (0, 0)
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
substituting the values m=1/4 and the y-intercept b=0 to determine the equation in slope-intercept form
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{4}x+0[/tex]
[tex]y=\frac{1}{4}x[/tex]
Thus, the slope-intercept form of the equation of the line with a slope of 1/4 and y-intercept at the origin:
[tex]y=\frac{1}{4}x[/tex]
