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Tabitha is trying to find the equation of a line perpendicular to y = 1 over 2x − 5 in slope-intercept form that passes through the point (2, −7). Which of the following equations will she use?

a) y − (−7) = 1 over 2(x − 2)
b) y − 2 = 1 over 2(x − (−7))
c) y − (−7) = −2(x − 2)
d) y − 2 = −2(x − (−7))

Respuesta :

bgayatri1
It's C r />Since point slope is y-y1=slope(x-X1)

Hope this helps

Answer:

The correct option is c.

Step-by-step explanation:

The slope intercept form of a line is

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

Where, m is the slope of the line and b is the y-intercept.

The given equation is

[tex]y=\frac{1}{2}x-5[/tex]

The slope of line is [tex]\frac{1}{2}[/tex] and the y-intercept of line is -5.

The product of slopes of two perpendicular lines is -1.

[tex]m_1\times m_2=-1[/tex]

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

[tex]m_2=-2[/tex]

The point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

The slope of required line is -2 and the line passing through the point (2,-7). The equation of the line is

[tex]y-(-7)=-2(x-2)[/tex]

Therefore option c is correct.

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