Question

Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)?

The slope is 1/2
The slope is -2
The y-intercept is 7.
The y-intercept is 13.

Answer 1

y intercept is 13

Explanation:

Answer 2

slope is -1/2

y intercept is 13

Explanation:

line that passes through the points (6, 10) and (12, 7)

To find slope apply slope formula

`slope = (y_2-y_1)/(x_2-x_1) =(7-10)/(12-6) =(-1)/(2)`

EQuation of the line is y=mx+b

where m is the slope and b is the y intercept

m=-1/2

`y-y_1=m(x-x_1)`

m=-1/2 and (6,10)

`y-10=(-1)/(2)(x-6)`

`y-10=(-1)/(2)x+3`

Add 10 on both sides

`y=(-1)/(2)x+13`

The value of b=13, so y intercept is 13