Answer:
[tex]M(x,y) = (1,3)[/tex] belongs to the line [tex]y = 2\cdot x +1[/tex]. Please see attachment below to know the graph of the line.
Step-by-step explanation:
From Analytical Geometry we know that a line is represented by this formula:
[tex]y=k\cdot x + b[/tex]
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]k[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
If we know that [tex]b = 1[/tex], [tex]x = 1[/tex] and [tex]y = 3[/tex], then we clear slope and solve the resulting expression:
[tex]k = \frac{y-b}{x}[/tex]
[tex]k = \frac{3-1}{1}[/tex]
[tex]k = 2[/tex]
Then, we conclude that point [tex]M(x,y) = (1,3)[/tex] belongs to the line [tex]y = 2\cdot x +1[/tex], whose graph is presented below.
