the equation of the line that is perpendicular to the line with equation y=-2x-1 and passes through the point (1, -2) is?

Step-by-step explanation:

Hi there!

Note that:

1) Determine the slope (m)

When we look at the given line, , we can identify that -2 is in the place of m, the slope of the line. Because perpendicular lines are negative reciprocals of each other, we know that a line perpendicular to this would have a slope of . Plug this into :

2) Determine the y-intercept (b)

Plug in the given point (1,-2)

Subtract 1/2 from both sides

Therefore, the y-intercept of the line is . Plug this back into

I hope this helps!

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363