In the xy coordinate plane the slope of line p is 1 2 and its x-intercept is -3. find the equation of a line that is perpendicular to p and intersects p at is x-intercept. a) y = -2x - 3 b) y = -2x + 3 c) y = -2x - 6 d) y = -2x + 6

Option C) y = -2x - 6

Step-by-step explanation:

The correct question is

In the xy coordinate plane the slope of line p is 1/2 and its x-intercept is -3. Find the equation of a line that is perpendicular to p and intersects p at is x-intercept.

step 1

Find the slope of a line that is perpendicular to p

we know that

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

we have

----> slope of line p

substitute

----> slope of the line perpendicular to p

step 2

Find the equation of the line  that is perpendicular to p and intersects p at is x-intercept

we have

Find the equation of the line in point slope form

substitute

step-by-step explanation:

i found the koficent of the linear function and i foun c acordind to the strict formula y=kx+c and then i took 2 as an x and replacet it on the formula i found and then foun the y