Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
Let's first find the slope. Below is how you find the slope using two points:
The formula for slope is
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case we have the two points:
(-1, -5) and (-3, -7)
This means that:
[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
This is the formula we have so far:
y = 1x + b
OR
y = x + b
Now we must find b
To do that you must plug in one of the given points the line goes through in the x and y of the equation.
(-1, -5)
-5 = 1(-1) + b
-5 = -1 + b
-4 = b
(D) y = x - 4
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, - 5) and (x₂, y₂ ) = (- 3, - 7)
m = [tex]\frac{-7+5}{-3+1}[/tex] = [tex]\frac{-2}{-2}[/tex] = 1, hence
y = x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation
Using (- 3, - 7), then
- 7 = - 3 + c ⇒ c = - 7 + 3 = - 4
y = x - 4 → D
