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9. Consider the line y = 4x+9. If a second line is perpendicular to this one, what is its slope? please show your work, i will mark brainliest!

9 Consider The Line Y 4x9 If A Second Line Is Perpendicular To This One What Is Its Slope Please Show Your Work I Will Mark Brainliest class=

Sagot :

sreedevi102

Answer:

Slope of the line perpendicular to the given line = [tex]- \frac{1}{4}[/tex]

Step-by-step explanation:

If two are lines are perpendicular to each other,

the product of their slopes = - 1 .

That is ,

      [tex]m_ 1 \times m_2 = -1[/tex]

Slope of the given line :

[tex]m_ 1 = 4[/tex]

Hence slope of the line perpendicular to it :

                                                                [tex]4 \times m_ 2 = - 1 \\\\\frac{4}{4} \times m_2 = - \frac{1}{4} \\\\1 \times m_2 = - \frac{1}{4}\\\\m_ 2 = \frac{-1}{4}[/tex]

Kd20062019

Answer:

The slope-intercept form is  y=mx+b, where  m  is the slope and  b  is the y-intercept.

y=mx+b

Using the slope-intercept form, the slope is  4

.

m=4

The equation of a perpendicular line to  

y=4x−9

must have a slope that is the negative reciprocal of the original slope.

m perpendicular

=[tex]\frac{1}{4}[/tex]   sorry this is wrong it should be =-[tex]\frac{1}{4}[/tex]

Hope this helps have a good day

View image Kd20062019
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