The line a is an illustration of a linear function
- The slope of line a is 1
- The equation of the line a is y = x + 2
How to determine the slope of the line?
From the complete figure, we have the following points on line a
(x,y) = (0,2) and (2,4)
The slope (m) is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
This gives
[tex]m = \frac{4 - 2}{2 - 0}[/tex]
Evaluate
m = 1
Hence, the slope of line a is 1
The equation of line a
This is calculated as
y = m(x - x1) + y1
So, we have:
y = (x - 0) + 2
Evaluate the difference and the product
y = x + 2
Hence, the equation of the line a is y = x + 2
See attachment for the graph of line a
Read more about linear equations at:
https://brainly.com/question/4025726
