Question

Which equation represents a line with a slope of 0 that passes through the point (-14, 2)?

Ox=-14
O y = -14
Ox=2
Oy=2

Answer 1

y = 2

Explanation:

for a given point (x1, y1) = (-14, 2)

slope, m = y - y1 / x - x1

as slope is 0,

0 = y - 2 / x + 14

0 = y - 2

thus, y = 2 is the equation of the line with a slope of 0 and that passes through the point (-14, 2)

Answer 2

The answer is:

y = 2

Work/explanation:

Since we have the slope and a point, we can write the line's equation in point slope:

`\rm{y-y_1=m(x-x_1)}`

where m is the slope and the point is (x₁,y₁)

Plug in the data:

`\rm{y-2=0(x-(-14)}`

Simplify to slope intercept

`\rm{y-2=0(x+14)}`

Distribute 0

`\rm{y-2=0x+0}`

`\rm{y-2=0}`

Simplify:

`\rm{y=2}`

`\therefore\quad\stackrel{\bf{answer}}{\boxed{\boxed{\sf{y=2}}}}`