Question

Which is an equation of the line that passes through (-1,-5) and (-3,-7)

Answer 1

Answer:

y = x - 4

correct answer

Step-by-step explanation:

Answer 2

Slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

Let's find m, the slope:

The formula for slope when using two points on a line is:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this case...

$y_{2} =-7\\y_{1} =-5\\x_{2} =-3\\x_{1} =-1$

^^^Plug these numbers into the formula for slope...

$\frac{-7-(-5)}{-3-(-1)}$

$\frac{-2}{-2}$

1

^^^This is your slope

So far this is our equation:

y = 1x + b OR y = x + b

Now let's find b, the y-intercept:

To do that you must plug in the point the line goes through in the x and y of the equation.

For this question I have chosen to plug in the point (-1, -5)

-5 = -1 + b

-5 + 1 = -1 + 1 + b

-4 = 0 + b

-4 = b

Your equation is:

y = x - 4

Hope this helped!

~Just a girl in love with Shawn Mendes