Question

A line passes through the point (1,3) and has a slope of 2. Which of these points also lies on this line?

A. (1,5)
B. (2,6)
C. (3,5)
D. (3,7)

Answer 1

D (3,7)

Explanation:

Answer 2

D (3, 7)

Explanation:

Use linear equation formula in point-slope form:
`y-y_1=m(x-x_1)`

where
`(x_1,y_1)` is a point on the line and
`m` is the slope

`\implies y-3=2(x-1)`

`\implies y=2x+1`

Inputting the values of the point options in the above equation for the line implies that D is the answer since:

when x = 3:
`y=2(3)+1=7`