Solution:
To find the equation of line passing through points A (1, 3) and B (3, 7).
we know that, to derive the equation of a line we first need to calculate the slope of the line. Slope m of a line at points
and
is given by -
.
Slope of the line at point A(1,3) and B(3,7)
.
.
.
Equation of a line using a point and a slope , 




The equation of line passing through points A (1, 3) and B (3, 7) : 
the real solutions for the equation
are -

Step-by-step explanation:
= 
= 0
We can write 64 as
+
= 0
using the identity (
)
we get,
= 
=
....................(1)
solving the quadratic equation ,
=0
solutions of this quadratic equation can be obtained by

let use y for factors




<u />
..................(2)
from the equation 1 we have,

which gives solution
and from equation 2 we got 
so the real solutions for the equation
are -

Answer:
The graph shifts 7 units left and 2 units up.
Step-by-step explanation:
In transformations, when a number is added or subtracted to "x" directly, that is the left/right shift.
When a number is added or subtracted outside of the "rest" of the equation, that is the up/down shift.
I learned transformations with these variables:

"a" - vertical stretch (a > 1) or compression (0 < a < 1)
"k" - horizontal stretch (0 < k < 1) or compression (k > 1)
"c" - translate left (+) or right (-)
"d" - translation up (+) or down (-)
The untranslated graph is centred around the origin f(x) = 1/x
f(x) begins 3 units right and 1 unit up of the untranslated graph.
g(x) is 4 units left and 3 units up of the untranslated graph.
y
g |
| f
-----------|------------ x
There is a 7 units translation left and 2 units translation up.
Answer:
The answer is D.
Step-by-step explanation:
As said in the problem, we are labeling the total minutes used <em>x </em>and the total monthly income as <em>y</em>. This means that in the graph we will be making the y-axis should represent the total monthly charges, and the x-axis should represent the total minutes.
Thus the graph should go through points (100,155) and (200,245) and its slope is:

The answer would be B. b = 8 * 4. If Joan picked 4 bushels of apples in an hour and the question wants to know how many bushels could be picked in 8 hours, its basically asking how many bushels are in 8 groups of 4.