***NOTE: Please check that you wrote the numbers in the question/answer choices correctly. The answer to this problem doesn't match the answer choice. Thank you!
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
First let's find the slope (m)
The formula to find slope using two points is
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case...
[tex]y_{2} =-2\\y_{1} =4\\x_{2} =3\\x_{1} =0[/tex]
^^^Plug these numbers into the formula for slope...
[tex]\frac{-2-4}{3 - (0)}[/tex]
[tex]\frac{-6}{3}[/tex]
-2
^^^This is your slope
Here is what we have so far for the slope intercept formula:
y = -2x + b
Now we must find b
To do that you must plug in a point the line goes through in the x and y of the equation, then solve for b
For this explanation we will use the point (0,4) although you could also do it with point (3, -2) and you should get the same answer
4 = -2(0) + b
4 = 0 + b
4 = b
NOTE: For this particular problem you wouldn't technically need to go through the steps above to find b. In this case one of the points given, (0, 4) is already the y-intercept of the line (b)
y = -2x + 4
Hope this helped!
~Just a girl in love with Shawn Mendes
