Luke B.

asked • 10/23/20# Write the following in slope intercept form: y – 2 = -2/5 ( x -5)

## 2 Answers By Expert Tutors

David Gwyn J. answered • 10/23/20

Highly Experienced Tutor (Oxbridge graduate and former tech CEO)

**slope intercept form** is **y = mx + b**

for equation y - 2 = -^{2}/_{5} (x - 5) we need to simplify/rearrange

so y - 2 = -^{2}/_{5} x + -^{2}/_{5} (-5) = -^{2}/_{5} x + 2

=> **y = -**^{2}**/**_{5}** x + 4**

This line has gradient of -^{2}/_{5} (goes down 2 units, and across 5 units) and a y intercept of 4 so passes through point (0,4)

Jon S. answered • 10/23/20

Patient and Knowledgeable Math and English Tutor

slope intercept form is y = mx + b

we start with y - 2 = -2/5(x-5)

we distribute the terms on the right side

y - 2 = -2/5x + 2

we need y alone on the left side, so we add 2 to both sides

y - 2 + 2 = -2/5x + 2 + 2

y = -2/5x + 4

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Mohammad W.

Check this out. Probably the best resource for slope intercept form with steps. https://www.allmath.com/slope-intercept-form.php04/07/21