Question

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = 1/4(x – 8). What is the slope-intercept form of the equation for this line?

y = 1/4x – 12
y = 1/4x – 4
y = 1/4x + 2
y = 1/4x + 6

Answer 1

y-4=1/4(x-8) Multiply x and -8 by 1/4
y-4=1/4x-2 Add 4 on both sides
y=1/4x+2
The answer is y=1/4x+2.

Answer 2

Answer: y= 1/4x+2 is the slope intercept form of the equation for this line.

Step-by-step explanation:

Since, the general slope intercept form of the equation y=mx+c, where m is the slope of the line.

Here, given equation y-4=1/4(x-8)

⇒y = 1/4x-8/4+4

⇒y=1/4x-2+4

⇒y =1/4x+2 is the slope intercept form of the given equation, where 1/4 is the slope of the line.

Thus, third option is correct.