Question

Write an equation in point slope form for the line that passes through each point with the given slope. (you can press on the photo to see more clear)

Answer 1

Question 1: Option C: y -6 = 8(x+4) is the correct answer.

Question 2: Option B: y-1=0 is the correct answer.

Explanation:

Question 1(In Picture):

Given point is: (-4,6) and

Slope: m = 8

The point-slope form of equation of a line is given by:

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

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

`y -6 = 8(x+4)`

Hence,

Option C: y -6 = 8(x+4) is the correct answer.

Question 2:

Given point is: (3,1) and

Slope: m = 0

The point-slope form of equation of a line is given by:

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

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

`y -1 = 0(x-3)\\y-1 = 0`

Hence,

Option B: y-1=0 is the correct answer.