Question

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

Answer 1

Answer:

y = 3/5x + 5

Step-by-step explanation:

Gradient of the line

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\\frac{2 - 5}{-5 - 0}\\\\\frac{-3}{-5}$

$\frac{3}{5}$

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