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Find the equation (in terms of x) of the line through the points (-1,-4) and (5,14) PLEASE HELP ME ANYONE

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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

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