Write an equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5).
a) y = -2x + 15
b) y = 2x - 15
c) y = -2x - 5
d) y = - 1/2x
me : )

Option A) y = -2x + 15

Step-by-step explanation:

step 1

Find the slope of the line perpendicular to the given line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The equation of the given line is

so

The slope of the given line is  

therefore

The slope of the line perpendicular to the given line is

step 2

Find the equation of the perpendicular line in point slope form

we have

substitute

---> equation in point slope form

Convert to slope intercept form

a

explanation:

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.