Question

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slope-intercept form of the equation for this line?

y = x – 12
y = x – 4
y = x + 2
y = x + 6

Answer 1

y = x - 4

Explanation:

y - 4 = x - 8

y = x - 4

Answer 2

slope-intercept form of the equation for this line is
`y=x -4`

Explanation:

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8).

To find slope intercept form of a equation of a line we solve for y

`y - 4 = (x - 8)`

We remove the parenthesis

`y -4 =x - 8`

To get y alone, we need to add 4 on both sides

`y -4+4=x - 8+4`

`y=x -4`

slope-intercept form of the equation for this line is
`y=x -4`