Question

Write the equation of the line that passes through the points (1,-4)and (5,-1)put your answer in fully simplified pointe slope form

Answer 1

the equation of the line is,

y = 3/4x - 19/4

Explanation:

the given co - ordinates are:

x1, y1 = 1, -4

x2, y2 = 5, -1

equation of the line is,

y = mx + b

where slope, m = y2 - y1 / x2 - x1

= -1 + 4 / 5 - 1

= 3/4

let's take x1, y1 as x, y co-ordinates to find the value of constant b:

y = mx + b

-4 = 3/4(1) + b

-4 - 3/4 = b

b = -19/4

thus, the equation of the line is,

y = 3/4x - 19/4