Question 1 (Essay Worth 10 points)
1 answer:
Answer:
Part A) The system has one solution
Part B) The solution is the point (2.54,3.69)
Step-by-step explanation:
step 1
Find the equation of line A
<em>Find the slope </em>
we have
(2,6) and (5,0)
m=(0-6)/(5-2)=-6/4=-1.5
<em>Find the equation of the line</em>
with the slope m and point (5,0)
y-0=-1.5(x-5)
y=-1.5x+7.5 -----> equation A
step 2
Find the equation of line B
<em>Find the slope </em>
we have
(0,2) and (6,6)
m=(6-2)/(6-0)=4/6=2/3
<em>Find the equation of the line</em>
with the slope m and point (0,2)
y-2=(2/3)(x-0)
y=(2/3)x+2 -----> equation B
step 3
Solve the system of equations
y=-1.5x+7.5 -----> equation A
y=(2/3)x+2 -----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
The system has one point of intersection
therefore
The system has only one solution
The solution is the point (2.54,3.69)
see the attached figure
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Answer:
Top right.
Step-by-step explanation:
So we want a line with a slope of 3 and passes through (2,5).
To do so, we can use the point-slope form.
The point-slope form is:
m is the slope and x₁ and y₁ is an ordered pair.
Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:
Our answer is the top right :)