Question

What is the equation of the line in slope-intercept form?

Answer 1

Answer:

$consider \: (0,4) \: and \: (-3,0) \\ gradient \: \: m = \frac{( - 3 - 0)}{(0 - 4)} \\ m = \frac{3}{4} \\ from \: y = mx + c \\ for \: (-3,0) : \: 0 = \frac{3}{4} \times - 3 + c \\ c = \frac{9}{4} \\ therefore \\ y = \frac{3}{4} x + \frac{9}{4 } \\ 4y = 3x + 9$