Respuesta :
Answer:
A
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 2 and (a, b) = (3, 1 ), thus
y - 1 = 2(x - 3) → A
The equation of the line with slope 2 that passes through (3, 1) is [tex](y-1)=2(x-3)[/tex] and this can be determined by using the one-point slope form.
Given :
The line with slope 2 that passes through (3, 1).
The following steps can be used in order to determine the equation of the line with slope 2 that passes through (3, 1):
Step 1 - The one-point form of the line can be used in order to determine the equation of the line with slope 2 that passes through (3, 1).
Step 2 - The equation that shows one-point form is given below:
[tex](y-y_1)=m(x-x_1)[/tex]
where m is the slope and [tex](x_1,y_1)[/tex] is the point on the line.
Step 3 - Substitute the values of the known terms in the above equation.
[tex](y-1)=2(x-3)[/tex]
Therefore, the correct option is A).
For more information, refer to the link given below:
https://brainly.com/question/11897796
