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:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case...
[tex]y_{2} =-7\\y_{1} =-5\\x_{2} =-3\\x_{1} =-1[/tex]
^^^Plug these numbers into the formula for slope...
[tex]\frac{-7-(-5)}{-3-(-1)}[/tex]
[tex]\frac{-2}{-2}[/tex]
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
