Problem
Which of the following equations represents a line that passes through the
points (-3, -14) and (0, –2)?
Solution
For this case we want to create an equation with this general form:
y= mx+b
We can calculate the slope with this operation:
[tex]m=\frac{-2+14}{0+3}=4[/tex]And the intercept can be founded with the second point:
-2= 4(0)+b
b= -2
And the equation would be:
y= 4x -2
If we analyze the second option given we can see that we can write like this:
y-6 = 4(x-2)
y-6= 4x-8
y-6+8 =4x
y+2= 4x
y= 4x-2
So then the best option would be:
II. y-6 = 4(x-2)
