Question

Which of the following equations represents a line that passes through thepoints (-3, -14) and (0, –2)?Alg 1

Answer 1

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:

`m=(-2+14)/(0+3)=4`

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)