Question

What is the equation of a line with a slope of -2 that passes through the point (-2,12)?

Answer 1

Answer:

y=-2x + 8 which is the required equation

Which is option C

Step-by-step explanation:

Given:

Slope = m = -2

Given points are ( -2,12)

Which is

x = -2 and y =12

TO find:

Equation of line passing through these points = ?

Solution:

The point slope form of a line is

y = mx + c

Here we don't know the value of c

To find it

Putting y = 12 , x= -2 and y = -2 in the given equation

y = mx + c

Putting values it becomes

12 = (-2)*(-2) + c

12 = 4 + c

Subtracting 4 from both sides

12-4 = 4 -4 + c

8 = c

Now we have

m = -2 and c= 8

So equation of a line is given by

y = mx + c

Putting value of m and c

y = -2*x + 8

y=-2x + 8 which is the required equation

Answer 2

Answer:

C

Step-by-step explanation:

slope : m

pass through the point : ( a , b )

then you can write down the equation :

y - b = m ( x - a )

from the question

the equation is

y - 12 = -2 ( x - ( - 2 ) )

y - 12 = -2 ( x + 2 )

y - 12 = -2x - 4

y = -2x +8