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

Answer:

slope is -1/2

y intercept is 13

Step-by-step explanation:

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

To find slope apply slope formula

$slope = \frac{y_2-y_1}{x_2-x_1} =\frac{7-10}{12-6} =\frac{-1}{2}$

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)

$y-10=\frac{-1}{2}(x-6)$

$y-10=\frac{-1}{2}x+3$

Add 10 on both sides

$y=\frac{-1}{2}x+13$

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

Answer 2

Answer:

y intercept is 13

Step-by-step explanation: