Directions: Complete this page with your teacher and partner. y-intercept Describe Lines Result of System One solution Slope Intersecting Lines No solutions Parallel Lines Infinite solutions Collinear Lines (Identical Lines) Identify whether the following systems of equations have one solution, no solutions, or infinite solutions. Reminder: First Rewrite each equation into slope-intercept form. 1. 2. 4x +y = 9 y = "x - 7 y = 5x - 6 2y = 10x + 1 m = m = m = b = b = b =

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question
NZAOMDAWMJ15/a/M)YZMzQ2NjlyMDQz/details
Open with -
Mathematics Success -
Grade 8
S213
LESSON 17: Solving Systems by Graphing
Directions: Complete this page with your teacher and partner.
Result of System
Slope
y-intercept
Describe Lines
Intersecting Lines
Parallel Lines
One solution
No solutions
Infinite solutions
Collinear Lines (Identical
Lines)
Identify whether the following systems of equations have one solution, no solutions,
or infinite solutions.
Reminder: First Rewrite each equation into slope-intercept form.
1.
2.
4x + y = 9
y = "x - 7
y = 5x - 6
2y = 10x + 1
m =
m =
m =
m =
b =
b =
b =
b =
Page
1 / 3
Q +
acer
Transcribed Image Text:NZAOMDAWMJ15/a/M)YZMzQ2NjlyMDQz/details Open with - Mathematics Success - Grade 8 S213 LESSON 17: Solving Systems by Graphing Directions: Complete this page with your teacher and partner. Result of System Slope y-intercept Describe Lines Intersecting Lines Parallel Lines One solution No solutions Infinite solutions Collinear Lines (Identical Lines) Identify whether the following systems of equations have one solution, no solutions, or infinite solutions. Reminder: First Rewrite each equation into slope-intercept form. 1. 2. 4x + y = 9 y = "x - 7 y = 5x - 6 2y = 10x + 1 m = m = m = m = b = b = b = b = Page 1 / 3 Q + acer
Expert Solution
Step 1

Since we know, the general equation of line is

y=mx+b                           (1)

Where m is the slope of line and b is the y intercept.

Solution 1:

Given 

equations of lines are

4x+y=9                             (2)

y=-x-7                           (3)

Graph of the lines is

Advanced Math homework question answer, step 1, image 1

Comparing (2) and (1)

m1=-4 and b=9

Now, comparing (3) and (1)

m2=-1 and b=-7

Let these two line cut each other at angle θ,

So slope

tanθ=m1-m21+m1m2tanθ=-4+11+4tanθ=35

From the graph, these two lines, cut each other at 163, -373.

So solution is

163, -373

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