Mathematics: 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?

T = 0.01(2)Step-by-step explanation:...

Tabitha is trying to find the equation of a line

Animallover100

15.03.2022

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

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

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