Question

Complete the point-slope equation of the line through (-4,8) (−4,8)

Use exact numbers.
(Point-Slope Equation)


any detailed answer for this??

Answer 1

Answer: y = 8

Explanation:

Point-slope form is written as y -
`y_1` = m(x -
`x_1`) where m is the slope and (
`x_1` ,
`y_1`) are points on the line.

First, we need to find the slope. This can be found with change in y over change in x:

`\displaystyle (y_(2) -y_(1) )/(x_(2) -x_(1) )`

`\displaystyle (8-8)/(-4--4)=(0)/(-4+4)=(0)/(0)=` undefined

Now, we will plug this undefined slope (0) into the equation below. Anything times 0 is 0, so no matter what (x -
`x_1`) is, the right side of the equation will always be 0.

y -
`y_1` = m(x -
`x_1`)

y -
`y_1` = (0)(x -
`x_1`) ➜ y -
`y_1` = 0

Lastly, we will take the y-value of 8 and plug it into the equation and simplify.

y -
`y_1` = 0 ➜ y - (8) = 0 ➜ + 8 (y - 8) = (0) + 8

y = 8

See attached for a visual explanation.