Respuesta :

Answer:

(-15, 0) --> x intercept

(0, 15) --> y intercept

Step-by-step explanation:

First, you need to find the equation of the line:

gradient equals 1 --> (6 - 11)/(-9 - (-4))

y = x + c

sub point (-9, 6)

6 = -9 + c

c = 6 + 9

c = 15

Equation of line: y = x + 15

x-intercept is when y = 0

0 = x + 15

x = -15 (that's the x-intercept)

(-15, 0)

y-intercept is when x = 0

y = 0 + 15

y = 15 (this is the y-intercept). The y-intercept is also the contant 'c'

(0, 15)