Question

What is the equation of the line thay passes through the coordinates (2,7) and (0,1) answer

Answer 1

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:

m: Is the slope

b: Is the cut-off point with the y axis

According to the data of the statement we have two points through which the line passes:

$(x_ {1}, y_ {1}): (0,1)\\(x_ {2}, y_ {2}): (2,7)$

We found the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {7-1} {2-0} = \frac {6} {2} = 3$

Thus, the equation is of the form:

$y = 3x + b$

We substitute one of the points and find "b":

$1 = 3 (0) + b\\1 = b$

Finally, the equation is:

$y = 3x + 1$

Answer:

$y = 3x + 1$