Question

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))

Answer 1

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

Hope this helps

Answer 2

The correct option is c.

Explanation:

The slope intercept form of a line is

`y=mx+b`

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

The given equation is

`y=(1)/(2)x-5`

The slope of line is
`(1)/(2)` and the y-intercept of line is -5.

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

`m_1* m_2=-1`

`(1)/(2)* m_2=-1`

`m_2=-2`

The point slope form of a line is

`y-y_1=m(x-x_1)`

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

`y-(-7)=-2(x-2)`

Therefore option c is correct.