Write the equation of a line that passes through the points (-8, 8) and (0, 1).

Question

anonymous · Answer

To solve this problem .... use the following steps:

Get the slope of the line:

$$\frac{ Y2 - Y1 }{ X2 - X1 }$$

Your points are: (-8,8) and (0,1) 

$$\frac{ 1 - 8 }{ 0 - (-8) }  = \frac{ -7 }{ 8 }$$ 

Thats your slope.


Take your slope and plug it into the following formula: Y=MX+B

$$Y = MX + B   ....... y = \frac{ -7 }{ 8 }x + b$$

Now your going to take one of the points .... and plug them in to get the value of b. For this one ... ill use the easy point (0,1)

X = 0 .... and Y = 1

Plug your points into the formula Y = MX + B 

Remember (MX) is your slope!

Your problem should look like this:

$$1 = \frac{ -7 }{ 8 }(0) + b$$
$$1 = 0 + b$$
$$1 = b$$

Now you have all your numbers.Plug them up and you have your equation of a line that passes through the two points:

$$y=\frac{ -7 }{ 8 }x+1$$