48.3k views
24 votes
The line passing through the points (-2,5) and (1,8)

1 Answer

12 votes

Answer:

y = x + 7

Explanation:

Calculate the slope of a line that passes through (-2,5) and (1,8). The slope is the Rise/Run between the 2 points:

Rise = (8 - 5) or 3.

Run = (1-(-2)) = 3

Rise/Run, the slope m, is 3/3 or 1.

The equation can be written as y = 1x + b.

We need to find a value of b that forces the line though both points. Do that by entering one of the two points into y = 1x + b and solve for b. I'll use point (1,8)

y = x + b

8 = 1 + b

b = 7

The equation becomes y = x + 7

See the attached graph.

The line passing through the points (-2,5) and (1,8)-example-1
User Vaughn Cato
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories