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Consider the equation −4x−y=3 A line parallel to the above line would have a slope of Correct A line perpendicular to the above line would have a slope of

Consider The Equation 4xy3 A Line Parallel To The Above Line Would Have A Slope Of Correct A Line Perpendicular To The Above Line Would Have A Slope Of class=

Sagot :

ANSWER:

Paralell: -4

Perpendicular: 1/4

STEP-BY-STEP EXPLANATION:

We have the following equation:

[tex]-4x-y=3[/tex]

Now, we have that an equation of a line in its slope-intercept form has the following form:

[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}[/tex]

We apply it in this case:

[tex]\begin{gathered} -y=4x+3 \\ y=-4x-3 \\ \text{therefore} \\ m=-4 \end{gathered}[/tex]

When two lines are parallel, the slope is the same, while when they are perpendicular, the product of the slopes is equal to -1, we calculate each case below as follows:

[tex]\begin{gathered} \text{ Parallel} \\ m_1=m_2 \\ m_2=-4 \\ \\ \text{ Perpendicular} \\ m_1\cdot m_2=-1 \\ m_2=\frac{-1}{m_1} \\ m_2=\frac{-1}{-4} \\ m_2=\frac{1}{4} \end{gathered}[/tex]

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