Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

$\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}$

From the points given,

y1 = 0

y2 = 5

x1 = 1

x2 = 5

Therefore:

$\frac{y - 0}{x - 1}= \frac{5 - 0}{5 - 1} \\\\\frac{y}{x - 1} = \frac{5}{4}$

Cross multiply:

4y = 5(x - 1)

y = 5/4(x - 1)