Question

The line passing through the points (-2,5) and (1,8)

Answer 1

Answer:

y = x + 7

Step-by-step 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.