Question

Find an equation in slope-intercept form for the line with a zero slope and passes through (12, -9). a. x = 12 c. y = 12x - 9 b. y = - 9 d. x = 12y - 9 Please select the best answer from the choices provided

Answer 1

Equation of the line in slope intercept form is y=-9

Explanation:

given slope =0 (m=0)

The line passes through a point (12,-9)

Given point is (x1,y1) x1= 12 and y1=-9

Now to get equation of line we use point slope equation

y - y1= m(x-x1)

Plug in all the values

y - (-9)= 0(x-12)

y +9 =0

subtract 9 on both sides

y = -9

Equation of the line in slope intercept form is y=-9

Answer 2

b. y = -9

Explanation:

A line with zero slope has no dependence on x. It is simply ...

... y = constant

The constant must be the same as the y-value of the point you want the line to go through. Since the point is (12, -9), the constant is -9 and the equation is ...

... y = -9