Question

17.

Match the information about each graph with the correct linear equation.

Information |
Linear Equations |
||

(a) |
The graph of the equation has
y-intercept
(0,−99). |
A. |
6 x plus y equals negative 96x+y=−9 |

(b) |
The graph of the equation has (0, 0) as x-intercept and y-intercept. |
B. |
y equals 4 xy=4x |

(c) |
The graph of the equation does not have an x-intercept. |
C. |
y equals 7y=7 |

(d) |
The graph of the equation has
x-intercept
(77,0). |
D. |
x minus 7 equals 0 |

19.

Find an equation of the line having the given slope and containing the given point.

m=−2,(3,5)

20. Graph the equation using the slope and the y-intercept.

y=8/3x(in fraction)+2

23. find the area of the rectangle.

A rectangle has a horizontal side of length "2 x |
6 x |

28. Write the expression with only positive exponents. Assume all variables represent nondash-zeronumbers.

-a^{-7}

Answer #1

17)

a)The graph of the equation has y-intercept (0,−9).

**A)6x+y=−9**

----

The graph of the equation has (0, 0) as x-intercept and y-intercept.

**y=4x**

-------------

The graph of the equation does not have an x-intercept.

y=7

-----------------

The graph of the equation has x-intercept (7,0)

x-7 =0

============

19)

m=−2,(3,5)

y -5 = -2(x -3)

y -5 = -2x +6

y= -2x +6 +5

**y= -2x +11**

20)

y= (8/3)x +2

Plot the y-intercept (0, 2) and then obtain point moving 8 unit up and 3 unit right to reach at (3, 10)

23)

28)

Give the slope and y-intercept of the line whose equation is
given below. Then graph the linear function. y equals -7x + 5
The slope of the line is -7? (Simplify your answer.)
The y-intercept is 5? (Type an integer or a simplified
fraction.)
Use the graphing tool to graph the linear equation. Use the
slope and y-intercept when drawing the line.
Please help verify, I don't understand the calculation to graph
the linear function?

1. Use the x- and y- intercepts to graph each linear
equation.(Do not use graph paper)
a) 2x-5y=10
b) 3x=2y+6
2. Calculate the slope of the line passing through the given
points. If the slope is undefined, so state, Then indicate whether
the line rises, falls, is horizontal or is vertical.
a) (4,2) and (3,4)
b) (-1,3) and (2,4)

Determine the length of the graph of the given equation in the
indicated interval.
a) y= 4x^(3/2) from the point (0,0) to the point (1,4)
b) y^2 = x in the interval(range) [-1,1]
c) y= sin(x) in the interval (range) [0,pi]
d) y=ln(cos x) between the values x=0 and x= pi/2

Determine the equation of the line in general form given the
following information.
The equation of a line perpendicular to 3x-5y+19=0 and has an
x-intercept of 2

Use the following linear regression equation to answer the
questions.
x1 = 1.1 + 3.0x2 –
8.4x3 + 2.3x4
(a) Which variable is the response variable?
x3
x1
x2
x4
Which variables are the explanatory variables? (Select all that
apply.)
x1
x2
x3
x4
(b) Which number is the constant term? List the coefficients with
their corresponding explanatory variables.
constant =
x2 coefficient=
x3 coefficient=
x4 coefficient=
(c) If x2 = 4, x3 = 10, and
x4 = 6, what...

The
following are solutions to homogeneous linear differential
equations. Obtain the corresponding differential equation with
real, constant cocfficients that is satisfied by the given
function:
a) y=4e^2x+3e^-x
b) y=x^2-5sin3x
c) y=-2x+1/2e^4x
d) y=xe^-xsin2x+3e^-xcos2x

Find a linear equation whose graph is the straight line with the
given property. Through (2,-2) and (1,1)
y(x) =

Data Set:
x
y
0
4
2
2
2
0
5
-2
6
1
1. Find intercept b0
2. Find slope B1
3. Find the best fitted linear regression equation
4.Graph observations
5.Graph the linear equation on the same plot
6. Find the coefficient of Determination r²
7. Find the linear correlation coefficient r
8.Interpret r (the correlation between x & y)

Use the following linear regression equation to answer the
questions.
x1 = 1.5 + 3.5x2 –
8.2x3 + 2.1x4
(a) Which variable is the response variable?
A. x3
B.
x1
C. x2
D. x4
(b) Which variables are the explanatory variables?
(Select all that apply.)
A. x4
B. x1
C. x3
D. x2
(c) Which number is the constant term? List the
coefficients with their corresponding explanatory variables.
constant ____________
x2 coefficient_________
x3 coefficient_________
x4 coefficient_________
(d) If x2 =...

Match the following equation with its graph.
left parenthesis x minus 4 right parenthesis squared plus left
parenthesis y minus 3 right parenthesis squared equals
36(x−4)2+(y−3)2=36
Choose the correct graph below.
A.
-157-715xy
A coordinate system has a horizontal x-axis labeled from
negative 15 to 7 in increments of 1 and a vertical y-axis labeled
from negative 7 to 15 in increments of 1. A circle has center
(negative 4, 3) and radius 6.
B.
-157-157xy
A coordinate system has...

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