LOOK AT IMAGE WORTH 20 points!!!
Write the equation of the line perpendicular to y= 2x+4 that passes through the point ( - 4,9).

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07-09-2021
Mathematics

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LOOK AT IMAGE WORTH 20 points!!!
Write the equation of the line perpendicular to y= 2x+4 that passes through the point ( - 4,9).

Sagot :

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Goddessboiidn Goddessboiidn · Answer 1 · 2021-09-07T16:02:49-04:00

Answer:

[tex]y=-\frac{2}{3}x+\frac{19}{3}[/tex]

Step-by-step explanation:

Lines that are perpendicular to each other have opposite reciprocal slopes. So, in this case, the slope that is perpendicular to 3/2 would be -2/3. In order for the line with that slope to pass (-4,9), we would need to plug in the coordinate point and solve for the y-intercept:

[tex]y=mx+b[/tex]

[tex]y=-\frac{2}{3}x+b[/tex]

[tex]9=-\frac{2}{3}(-4)+b[/tex]

[tex]9=\frac{8}{3}+b[/tex]

[tex]\frac{19}{3}=b[/tex]

Therefore, the equation in slope-intercept form would be [tex]y=-\frac{2}{3}x+\frac{19}{3}[/tex]

Sagot :

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