Answer:
[tex]\boxed {\tt y=\frac{4}{7}x+3}[/tex]
Step-by-step explanation:
Slope-intercept form is:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
We know the slope is 4/7 and the y-intercept is (0,3). In this form, we can say the y-intercept is just 3. Therefore,
[tex]m=\frac{4}{7}\\b= 3[/tex]
Substitute the values into the form.
[tex]y=\frac{4}{7} x+3[/tex]
The equation of the line is:
y=4/7x+3
