Question

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

Answer 1

Answer:

$y=-2x-3$

Step-by-step explanation:

we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

$m1*m2=-1$

Step 1

Find the slope of the given line

we have

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

the slope of the given line is equal to

$m1=\frac{1}{2}$

Step 2

Find the slope of the line perpendicular to the given line

$\frac{1}{2}*m2=-1$

$m2=-2$

Step 3

Find the equation of the line into slope intercept form

$y=mx+b$

we have

$m=-2$

$point(2,-7)$

substitute and solve for b

$-7=-2*(2)+b$

$-7=-4+b$

$b=-7+4=-3$

The equation of the line is equal to

$y=-2x-3$