Question

What are the intercepts of y = x + 5 (Remember that intercepts mean both x-intercept & y-intercept.) a) (5, 0) & ( 0, 5) b) ( -5, 0) & (0 , 5) c) (5, 0 ) & (0, -5) d) (-5, 0 ) & ( 0, -5)

Answer 1

Greetings from Brasil...

We have to remember 2 details:

→ When X = 0, the function intersects the Y axis

→ When Y = 0, the function intersects the X axis

So

1: X = 0

Y = X + 5

Y = 0 + 5

Y = 5

X = 0 and Y = 5 ⇔ (0; 5)

2: Y = 0

Y = X + 5

0 = X + 5

X = - 5

Y = 0 and X = - 5 ⇔ (- 5; 0)

Then the point at which the graph intersects the X and Y axis will be

(0; 5) and (- 5; 0)