Aline passes through (1, –5) and (–3, 7).write an equation for the line in point-slope form.
rewrite the equation in slope-intercept form.

part 1) The equation of the line in point slope form is

Part 2) The equation in slope intercept form is

Explanation:

Part 1) Write an equation for the line in point-slope form

we have the points

(1, –5) and (–3, 7)

Find the slope

The formula to calculate the slope between two points is equal to

substitute the values

Find the equation of the line into point slope form

we have

substitute

----> equation of the line in point slope form

Part 2) Rewrite the equation in slope-intercept form.

we have

Convert to slope intercept form

Isolate the variable y

Distribute right side

Subtract 5 both sides

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