Answer:
Step-by-step explanation:
The form of equation of line given in the problem is the point-slope form of a line. That is given by:
We need 
and m (denoted by boxes)
is the y coordinate of the first set of points.
The first coordinate pair is (9,7), so would be 7
Now, the slope (m).
It has formula
So, x_1 = 9
y_1 = 7
x_2 = 4
y_2 = -8
Substituting, we get the slope to be:
Hence, the equation of the line in point-slope is:
Answer/Step-by-step explanation:
a. % of people who smoke = no. of people who smoke ÷ total no. of people surveyed × 100
Total no. of people who smoke is given = 4 + 36 = 40
Total people surveyed = 200
% of people who smoke = 
a. % of people who do not exercise regularly = no. of people who do not exercise regularly ÷ total no. of people surveyed × 100
Total no. of people who do not exercise regularly = 36 + 134 = 170
Total people surveyed = 200
% of people who smoke = 
1.
The first transformation, the translation 4 units down, can be described with the following symbols:
(x, y) → (x, y-4).
as the points are shifted 4 units vertically, down. Thus the x-coordinates of the points do not change.
A'(1, 1) → A"(1, 1-4)=A"(1, -3).
B'(2, 3) → B"(2, 3-4)=B"(2, -1).
C'(5, 0) → C"(5, 0-4)=C"(5, -4).
2.
The second transformation can be described with:
(x, y) → (x, -y).
as a reflection with respect to the x-axis maps:
for example, (5, -7) to (5, 7), or (-3, -4) to (-3, 4)
thus, under this transformation A", B", C" are mapped to A', B' and C' as follows:
A"(1, -3)→A'(1, -(-3))=A'(1, 3)
B"(2, -1)→B'(2, -(-1))=B'(2, 1)
C"(5, -4)→C'(5, -(-4))=C'(5, 4)
Answer:
A'(1, 3), B'(2, 1), C'(5, 4)
$70/$32.55=$37.45 the amount of money she spent on coffee. We can divide that amount by $7.49 to see how many pounds she brought $37.45/$7.49=5
She brought 5 pounds of coffee.
