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

Answer:

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

Step-by-step 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 $y=x -4$

Answer 2

Answer:

y = x - 4

Step-by-step explanation:

y - 4 = x - 8

y = x - 4