Answer:
[see below]
Step-by-step explanation:
We are given enough information to write the equation in point slope form: [tex]y-y_1=m(x-x_1)[/tex]
'm' is the slope
(x1,y1) is the point used
We are given the point of (3,7) and the slope of 1/4.
[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-7=\frac{1}{4}(x-3)}[/tex]
We can also convert the equation into slope-intercept form:
[tex]y-7=\frac{1}{4}(x-3)\\\\y-7=\frac{1}{4}x-\frac{3}{4}\\\\ y-7+7=\frac{1}{4}x-\frac{3}{4}+7\\\\\boxed{y=\frac{1}{4}x+\frac{25}{4}}[/tex]
