Right off the bat we know that the y-intercept is going to be 5 because of the second co-ordinate.
Now for the slope, because the y co-ordinate doesn't change, it has no slope so the equation is simply: y=5
Hope this helps :)
<u>Given</u>:
Let the two numbers be x and y.
Two numbers multiply to be -7 and add to be -6.
This can be written in equation as,
and
<u>Value of the two numbers:</u>
Let us determine the value of the two numbers using substitution method.
Substituting in the equation , we get;
Simplifying, we get;
Thus, the values of x are x = 1,-7
When x = 1 , the equation becomes
When x = -7, the equation becomes
Therefore, the two numbers are 1 and -7
Let
A(4,5) B(8,7) C(12,9) D(16,11)
1) Find the slope AB
m=(y2-y1)/(x2-x1)
m=(7-5)/(8-4)=0.5
2) Find the slope BC
m=(9-7)/(12-8)=0.5
3) Find the slope CD
m=(11-9)/(16-12)=0.5
The points represent a linear function
so
<u>Find the equation of the line with m=0.5 and the point A(4,5)</u>
we know that
y-y1=m*(x-x1)
y-5=0.5*(x-4)
y=0.5*x-2+5
y=0.5*x+3
therefore
<u>the answer is</u>
The equation is equal to y=0.5*x+3