Solve for y in the first equation.
9514 1404 393
Answer:
A. The equation represents a linear function because the equation is in the form y = mx + b
Step-by-step explanation:
A linear function does not have to be in the form y = mx + b, but if a function is in that form, it is a linear function.
choice A is appropriate
__
A function may have two variables, x and y, and not be a linear function. For example, y = x² is not a linear function. The fact that it has two variables is not what makes it linear.
Answer:

Step-by-step explanation:


Combine Like Terms:



Therefore,
will be your final answer.
Answer:

Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-intercept
In this problem we have


substitute and solve for b



The equation of the line is equal to

Answer: y = 4x-3
slope = 4, y intercept = -3
=================================================
m = 4 is the slope
is the point the line goes through
Using point slope form, we can say,

The equation is in slope intercept form y = mx+b
m = 4 = slope
b = -3 = y intercept
------------------------
As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b
y = mx+b
-11 = 4(-2)+b
-11 = -8+b
-11+8 = -8+b+8
-3 = b
b = -3 we get the same y intercept value as above
------------------------
To check the answer, plug x = -2 into the equation. We should get y = -11
y = 4x-3
y = 4(-2)-3
y = -8-3
y = -11 we get the proper y value. The answer is confirmed.