# Coordinate question?

A line passes through (-2, 5) and (k, 1) and has x-intercept 3. Find k.

How?

### 2 Answers

Relevance

- DavidLv 74 weeks ago
Coordinates: (-2, 5) (k, 1) and (3, 0) which is the x intercept

Slope: (5-0)/(-2-3) = -1

If: (5-1)/(-2-k) = -1

Then: k = 2

- MichaelLv 74 weeks ago
x-intercept 3 is point (3, 0)

Find slope with point (-2, 5)

m = rise/run

m = -5/5

m = -1

slope intercept form is

y = mx + b

plug in point (3, 0) and m = -1 to find b

0 = -1(3) + b

0 = -3 + b

b = 3

The line is

y = -x + 3

For (k, 1)

1 = -k + 3

k + 1 = 3

k = 2 <–––––

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