Which of these is a point-slope equation of the line that is perpendicular to y- 25 =2(x- 10) and passes through (-3, 7)?
A. y-7= -2(x+ 3)
B. y+7=--3)
C. y-7- -x+3)
D. y+7 = 2(x- 3)

Given:

Equation of line is .

A line is perpendicular to the given line and passes through (-3,7).

To find:

The point slope form of the perpendicular line.

Solution:

Point slope form of a line is

         ...(i)

where, is the point from which the line is passing through and m is slope.

We have,

      ...(ii)

From (i) and (ii), we get

Product of slopes of two perpendicular lines is -1.

So, slope of perpendicular line is .

Point slope form of the perpendicular line is

Therefore, the correct option is C.

45

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."