Question

2.

A line passes through (1, –5) and (–3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.

A. y + 5 = –3(x – 1); y = –3x – 2

B. y - 1 = 1/3(x + 5); y = 1/3x + 8/3

C. y – 5 = 3(x + 1); y = 3x + 8

D. y - 5 = 1/3(x + 1); y = 1/3x + 16/3

Answer 1

A. y + 5 = –3(x – 1); y = –3x – 2

Explanation:

Point-slope form:

Slope-intercept form;

EXPLANATION

The point-slope form of a line is given by:

We need to find the slope using the formula:

Let us substitute the point (1, –5) and (–3, 7).

This implies that,

The point slope form now becomes,

To find the slope intercept form, we expand to obtain;