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

Answer:

The correct option is c.

Step-by-step 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

$y=\frac{1}{2}x-5$

The slope of line is $\frac{1}{2}$ and the y-intercept of line is -5.

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

$m_1\times m_2=-1$

$\frac{1}{2}\times m_2=-1$

$m_2=-2$

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.

Answer 2

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

Hope this helps