Question

What is the equation of the line that passes through the point (-6,4) and has a
slope of o?

Answer 1

y = 4

Explanation:

Given :-

• passes through the point (-6, 4)
• slope = 0

To Find :-

• equation of line

Slope :-

• We know coordinates of y-intercept are : (0, b)
• Using point-slope form,
• b - 4 = 0(0 + 6)
• b - 4 = 0
• b = 4

Substitution

• Using the slope-intercept form,
• y = mx + b
• y = 0x + 4
• y = 4

Answer 2

`y=0x+4`

Explanation:

Given the following question:

Point A = (-6, 4) = (x, y)
Slope = 0

To find the equation of the line we are going to use the slope intercept form y = mx + b, substitute the values in for the variables and then solve for b to have our answer.


`y=mx+b`

`y=4`

`m=0`

`x=-6`

`4=0(-6)+b`

`0*-6=0`

`4=0+b`

`4+0=4`

`4=b`

`b=4`

`y=0x+4`

The equation of the line is "y = 0x + 4."

Hope this helps.