Question

Write the equation of a line through points (5, 5) and (1, 0) in point-slope form.

A. y=5/4 (x-1)

B. y-1= 5/4 (x-1)

C. y-5= 1/4 (x-1)

D. y= 1/4 (x-5)

Answer 1

A. y = 5/4(x - 1)

Explanation:

The equation of a line can be written in the form:

From the points given,

y1 = 0

y2 = 5

x1 = 1

x2 = 5

Therefore:

Cross multiply:

4y = 5(x - 1)

y = 5/4(x - 1)

Answer 2

A. y = 5/4(x - 1)

Explanation:

The equation of a line can be written in the form:

`(y - y_1)/(x - x_1) = (y_2 - y_1)/(x_2 - x_1)`

From the points given,

y1 = 0

y2 = 5

x1 = 1

x2 = 5

Therefore:

`(y - 0)/(x - 1)= (5 - 0)/(5 - 1) \\\\(y)/(x - 1) = (5)/(4)`

Cross multiply:

4y = 5(x - 1)

y = 5/4(x - 1)