[tex]The\ x\ intercept\ is\ (\frac{7}{5}, 0)[/tex]
The y intercept is (0, -7)
Solution:
Given equation is:
y - 3 = 5(x - 2)
Find the x intercept
Substitute y = 0 in given equation
[tex]0-3=5(x-2)\\\\-3=5x - 10\\\\5x = -3 + 10\\\\5x = 7\\\\x = \frac{7}{5}\\\\Thus\ the\ x\ intercept\ is\ (\frac{7}{5}, 0)[/tex]
Find the y intercept:
Substitute x = 0 in given equation
[tex]y - 3 = 5(0-2)\\\\y - 3 = -10\\\\y = -10 + 3\\\\y = -7[/tex]
Thus the y intercept is (0, -7)
