Question
Unit 2 Test Graph each line. I) -5=-y fr of -I -I -I -I 2) -5x-y=-4 -I Solve each system by graphing. Write the solution as an ordered pair (x,y)
Solution
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(175 Votos)
Renato
Mestre · Tutor por 5 anos
Resposta
To graph each line and solve the system by graphing, let's go through each equation step-by-step.### 1) Graph the line:
First, solve for
:
This is a horizontal line where
is always 5. To graph this line, draw a horizontal line that passes through the point \((0, 5)\) on the y-axis.### 2) Graph the line:
First, solve for
in terms of
:
This is a linear equation in slope-intercept form
, where the slope
and the y-intercept
. To graph this line:- Start at the y-intercept \((0, 4)\).- Use the slope to find another point. Since the slope is
, from \((0, 4)\), move down 5 units and right 1 unit to reach the point \((1, -1)\).Draw a line through these points.### Solve the system by graphingNow, we have two lines:1.
2.
To find the solution to the system, look for the intersection of these two lines on the graph.- The line
is horizontal.- The line
intersects the horizontal line
.Set the equations equal to find the intersection point:
Solve for
:
The intersection point, and thus the solution to the system, is:
So, the solution to the system is \(\left(-\frac{1}{5}, 5\right)\).