Answer:
m = 1/3
b = -6
Step-by-step explanation:
How to calculate slide (m):
[tex]\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = m[/tex]
x1 = 0
x2 = -12
y1 = -6
y2 = -10
If we put in the values:
[tex]\frac{(-6) - (-10)}{0 - (-12)} = m[/tex]
Subtracting a negative number is the same as adding it:
[tex]\frac{(-6) + 10 }{0 + 12} = m[/tex]
-6 + 10 = 4 and 0 + 12 = 12 so now we have this:
[tex]\frac{4}{12} = m[/tex]
Lets simplify:
4 and 12 can both be divided by 3:
[tex]\frac{1}{3} = m[/tex]
3 and 1 are prime numbers and cannot be simplified further.
Now we know that m=1/3
Since:
y = mx + b
y = -6
x = 0
m = 1/3
Then:
-6 = 1/3*0 + b
1/3*0 is 0, so we can just remove that part:
-6 = b
that means b is equal to -6
Hope i was able to help!
If you have any questions, just ask them in the comments below!
Have a good day! (●'◡'●)
