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:
[tex](x_ {1}, y_ {1}): (0,1)\\(x_ {2}, y_ {2}): (2,7)[/tex]
We found the slope:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {7-1} {2-0} = \frac {6} {2} = 3[/tex]
Thus, the equation is of the form:
[tex]y = 3x + b[/tex]
We substitute one of the points and find "b":
[tex]1 = 3 (0) + b\\1 = b[/tex]
Finally, the equation is:
[tex]y = 3x + 1[/tex]
Answer:
[tex]y = 3x + 1[/tex]
