slope intercept form
y=mx+b
where m is the slope and b is the y intercept
if we change from point slope form
y-y1 = m(x-x1)
we distribute
y-y1 = mx -x*x1
then add y1 to each side
y = mx -x*x1+y1
remember x and y are variables and should stay in the equation
m,x1,y1 are numbers from the problem
you may have to calculate the slope (m) from the formula
m = (y2-y1)/(x2-x1) from two points on the line
So let’s make the smaller number x and the larger one y....
Set up your equation by following the words signaling mathematical operations from the question.
y = 8 + 4x
y + 4x = 40
Now let’s bring all variables to one side and solve the system if equations with elimination...
y - 4x = 8
y + 4x = 40
Add the equations:
2y = 48
y = 24
Plug the y-value into one of the original equations:
24 = 8 + 4x
16 = 4x
4x = 16
x = 4
And there you have it! The smaller number [x] is 4 and the larger number [y] is 24.
All of Randy’s thing in his desk are round
