Answer:
the equation of the line is,
y = 3x - 1
Explanation:
given the two coordinates, x1, y1 = -1, -4
x2, y2 = 5, 14
equation of the line is,
y = mx + b
where m is the slope, m = y2-y1 / x2 - x1
= 14 + 4 / 5 + 1
= 18 / 6 = 3
by substituting the values in the equation to find the constant, b
let's take x1, y1 as x, y coordinates:
-4 = 3(-1) + b
-4 = -3 + b
-4 + 3 = b
b = -1
thus, the equation of the line is,
y = 3x - 1