Aline 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. y – 5 = 3(x + 1); y = 3x + 8 y + 5 = –3(x – 1); y = –3x – 2

ANSWER

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;

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