The calculated equation of the straight line is y = 1/8x + 11/8 and the slope is 1/8
How to determine the equation of the straight line
From the question, we have the following parameters that can be used in our computation:
(-3,1) and (5,2)
The slope (m) of the above points is calculated using
m = (2 - 1)/(5 + 3)
Evaluate
m = 1/8
A linear equation is represented as
y = mx + c
So, we have
y = 1/8x + c
Using the points, we have
2 = 1/8 * 5 + c
c = 2 - 5/8
c = 11/8
So, we have
y = 1/8x + 11/8
Hence, the equation of the straight line is y = 1/8x + 11/8 and the graph is attached
Question
What is the equation of the line passing through (-3,1) and (5,2).