Question

Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)

Answer 1

Answer:

$M(x,y) = (1,3)$ belongs to the line $y = 2\cdot x +1$. 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:

$y=k\cdot x + b$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$k$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

If we know that $b = 1$, $x = 1$ and $y = 3$, then we clear slope and solve the resulting expression:

$k = \frac{y-b}{x}$

$k = \frac{3-1}{1}$

$k = 2$

Then, we conclude that point $M(x,y) = (1,3)$ belongs to the line $y = 2\cdot x +1$, whose graph is presented below.