199k views
5 votes
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

2 Answers

1 vote

Answer:

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)

User Sigget
by
7.9k points
5 votes

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}}}}

User Txemsukr
by
8.5k points
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