Answer: [tex]y=2x-\frac{1}{4}[/tex]
Step-by-step explanation:
For this exercise it is important to remember that, by definition, the Slope-Intercept form of the equation of the line is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line, and "b" is the y-intercept.
According to the information provided in the exercise, the slope of this line is:
[tex]m=2[/tex]
And the y-intercept is the following:
[tex]b=-\frac{1}{4}[/tex]
Therefore, knowing the value of "m" and the value of "b", you can substitute them into the equation [tex]y=mx+b[/tex], in order to find the equation of the line in Slope-Intercept form.
You get that this is:
[tex]y=mx+b\\\\y=2x+(-\frac{1}{4}) \\\\y=2x-\frac{1}{4}[/tex]
