Question

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

Answer 1

The equation of the line is y = 2x + 1 and the graph is attached

How to graph the equation represented by the function

From the question, we have the following parameters that can be used in our computation:

y = kx + 1

Also, we have

M(1, 3)

This means that

x = 1 and y = 3

Substitute the known values into the equation

k(1) + 1 = 3

k + 1 = 3

Evaluate

k = 2

Recall that

y = kx + 1

So, we have

y = 2x + 1

Hence, the equation of the line is y = 2x + 1 and the graph is attached

Answer 2

Ok, we have the line:

y = k*x + 1

And we know that the point (1, 3) belongs to this line.

This means that when x is equal to 1, y must be equal to 3.

Then:

3 = k*1 + 1

3 - 1 = k

2 = k

Now we know that our line is:

y = 2*x + 1.

And we can graph it, as shown below.