Finding the y intercept

Question

Hi,

If the gradient of a line is -2 and it has an x-intercept of 4, find the y-intercept of the line? Show all working please

Thank you. 

Answer 1

y = mx + b, m = -2

y = -2x + b

(4, 0) is a solution, 4 is the x-intercept

 

0 = -2(4) + b

0 =  -8 + b

8 = b

 

y = -2x + 8