Answer:
[tex]y=\frac{5}{7}x-5[/tex]
Step-by-step explanation:
All lines in the plane are of the form
y = mx+b
The intersection with the Y-axis is obtained by replacing x with 0
The intersection with the X-axis is obtained by replacing y with 0
If we want that the Y-intercept = -5, then
-5 = m(0)+b
So b = -5
Our temporal equation is then
y = mx-5
If we want that the X-intercept = 7, then
0 = m(7)-5
7m = 5
m = 5/7
So our final equation is
[tex]y=\frac{5}{7}x-5[/tex]
Attached is the graph of the line
