1 Rewrite the following equations in point-gradient form:6.b y-3 = -2(x – 8)-x +y = 21c 2x+4y = --3a2 Find the points of intersection of the lineswith equations:ay = --x-7 and y = -5x + 10b y-1=-(x – 4) and y = 0c -x+ 3y = -2 and -x-y=2.43 Determine what kind of quadrilateral isformed by the following points:M(-2,-1), L(1,3), T(5,0) and H(2,-4).4 Three lines with equations y = -x + 3,y-x- and y-x-을21intersect at86.three points and form a triangle. Find:a the coordinates of these three pointsb the lengths of the sides of the trianglec the perimeter of the triangle.5 Line [OB], shown in the diagram,represents Petya's walk to work.a Find the number of km that Petyawalks in 1 hour.y64BDistance (km) 32113467Time (hours)b Maria also walks to work. She walks5 km in 1.6 hours.Determine who walks faster. Assumethey each walk at a constant rate.Justify your conclusion.c Write down equations of the linesdescribing Petya's and Maria's walks. 6 A student has graphed some equationsincorrectly. Determine which equationshave been incorrectly graphed, the errorin graphing and the equations of the linesthat have been graphed instead.Draw the graph of the correct line if thereis an error.a Line with equation y = 5x – 3y-119 10 11346-2F3|-4-5-6-b Line with equation x = 5y6-5432-23 456c Line with equation -20x+ 55y = 22y6-5-31.6.8.+2137 Find the equation of a line parallel to:a the line y =-x+5 and passingthrough (0,0)b the line 0.5x – 3y = 8 and passingthrough (-3, –1).

Answered: Image /qna-images/answer/6b26bea8-09a3-4284-a1a1-11971c402b81.jpg

Answered: 1 Rewrite the following equations in…

Math

Geometry

1 Rewrite the following equations in point- gradient form: a -x+ y = 2 b y-3 =-2(x – 8) 1 2x +4y =

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 17EQ

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Question

1 Rewrite the following equations in point-
gradient form:
6.
b y-3 = -2(x – 8)
-x +y = 2
1
c 2x+4y = --
3
a
2 Find the points of intersection of the lines
with equations:
a
y = --x-7 and y = -5x + 10
b y-1=-(x – 4) and y = 0
c -x+ 3y = -2 and -x-y=2.
4
3 Determine what kind of quadrilateral is
formed by the following points:
M(-2,-1), L(1,3), T(5,0) and H(2,-4).
4 Three lines with equations y = -x + 3,
y-x- and y-x-을
21
intersect at
8
6.
three points and form a triangle. Find:
a the coordinates of these three points
b the lengths of the sides of the triangle
c the perimeter of the triangle.
5 Line [OB], shown in the diagram,
represents Petya's walk to work.
a Find the number of km that Petya
walks in 1 hour.
y
6
4
B
Distance (km) 3
2
1
1
3
4
6
7
Time (hours)
b Maria also walks to work. She walks
5 km in 1.6 hours.
Determine who walks faster. Assume
they each walk at a constant rate.
Justify your conclusion.
c Write down equations of the lines
describing Petya's and Maria's walks.

6 A student has graphed some equations
incorrectly. Determine which equations
have been incorrectly graphed, the error
in graphing and the equations of the lines
that have been graphed instead.
Draw the graph of the correct line if there
is an error.
a Line with equation y = 5x – 3
y
-11
9 10 11
3
4
6
-2
F3
|-4
-5
-6-
b Line with equation x = 5
y
6
-5
4
3
2-
2
3 4
5
6
c Line with equation -20x+ 55y = 22
y
6-
5-
3
1.
6.
8.
+2
13
7 Find the equation of a line parallel to:
a the line y =-x+5 and passing
through (0,0)
b the line 0.5x – 3y = 8 and passing
through (-3, –1).

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