Determine the x- and y- intercepts for the graph defined by the given equation.
y = 7x + 3

For this case we have the following equation:
[tex]y = 7x + 3[/tex]
To find the y-intersection values we do [tex]x = 0[/tex]:
[tex]y = 7 (0) +3\\y = 0 + 3\\y = 3[/tex]
To find the x-intersection values we do[tex]y = 0[/tex]
[tex]0 = 7x + 3[/tex]
Subtracting 3 on both sides:
[tex]-3 = 7x[/tex]
Dividing between 7 on both sides:
[tex]x = - \frac {3} {7}[/tex]
So, we have:
x-intersection: [tex](- \frac {3} {7}, 0)[/tex]
y-intersection: [tex](0,3)[/tex]
Answer:
Option B