Question

Y-3=5(x-2)
what are the intercepts t of x and y
x=(_,_)
y=(_,_)

Answer 1

`The\ x\ intercept\ is\ ((7)/(5), 0)`

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

`0-3=5(x-2)\\\\-3=5x - 10\\\\5x = -3 + 10\\\\5x = 7\\\\x = (7)/(5)\\\\Thus\ the\ x\ intercept\ is\ ((7)/(5), 0)`

Find the y intercept:

Substitute x = 0 in given equation

`y - 3 = 5(0-2)\\\\y - 3 = -10\\\\y = -10 + 3\\\\y = -7`

Thus the y intercept is (0, -7)