Answer:
Step-by-step explanation:
The equation is a <em>linear equation</em>. By definition, the independent term on this equation (that is, the number that is not being multiplied by ) is the <em>y-intercept</em>, which is a fancy way of saying "the point where the line crosses the y-axis".
By looking at the equation, we know that our y-intercept is <em>c. </em>By looking at the graph, we can see that the y-intercept is -3. Therefore, and we get the complete version of our linear equation:
Now, looking at the graph we can see that the point lies on the line of the equation, which means that the point is a solution to our equation. All we have to do is replace and by the values of the given point (which are and , respectively), and then solve for :
And we are done!
Answer:
The slopes are the same and the y-intercepts are the same.
Step-by-step explanation:
Looking at the two systems of equations:
3x - 6y = 12
and
9x - 18y = 36
We can see that the two equations have a GCF, that GCF would be 3.
Since, 3 ( 3x - 6y = 12) = 9x - 18y = 36
or vice versa: (9x - 18y = 36)/3 = 3x - 6y = 12
Therefore, both the slopes and the y-intercepts are the same just dilated by a factor of 3.
I simplified using formula
Answer:
f(-8) = -18
Step-by-step explanation:
given :
f(x) = 2(x – 3) + 4
to find f(-8), simply substitute x= -8 into the function:
f(x) = 2(x – 3) + 4
f(-8) = 2[(-8) – 3] + 4
= 2[-8 – 3] + 4
= 2[-11] + 4
= -22+4
= -18