Question

What is through :(0,5) and (-5,2)

Answer 1

y = 3/5x + 5

Explanation:

Gradient of the line

`(y_(2)-y_(1))/(x_(2)-x_(1)) \\\\(2 - 5)/(-5 - 0)\\\\(-3)/(-5)`

`(3)/(5)`

y = 3/5x + c

Substitute either point in to find c

y = 3/5x + c at (0,5)

5 = 3/5(0) + c

5 = 0 + c

5 = c

y = 3/5x + c at (-5,2)

2 = 3/5(-5) + c

2 = -3 + c

2 + 3 = c

5 = c

y = 3/5x + c

Replace c with 5

y = 3/5x + 5