Question

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = y minus 4 equals StartFraction one-fourth EndFraction left-parenthesis x minus 9 right-parenthesis.(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 = 1/4x+ 6 step by step.

Answer 2

C.
`y=(1)/(4)x+2`

Explanation:

We have been given that 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)`. We are asked to find the slope-intercept form of the equation.

To convert our given equation in slope-intercept form, we will separate y on left side of equation.

`y-4=(1)/(4)\cdot x-(1)/(4)\cdot 8`

`y-4=(1)/(4)x-2`

Add 4 on both sides:

`y-4+4=(1)/(4)x-2+4`

`y=(1)/(4)x+2`

Therefore, the equation of line in slope-intercept form would be
`y=(1)/(4)x+2`and option C is the correct choice.