Answer:

Step-by-step explanation:
For one line to be perpendicular to another, their slopes must multiply to -1. So, we really want the line with slope
that passes through the point
.
Recall the point-slope form of a line. If you have a point
and a slope
, the line through that point with the given slope is
. Plugging in our given point and slope gives our line:
(point-slope form).
We can convert this line to slope-intercept form, the most common form by expanding the right side and adding
to get
by itself:


The rate at which his pulse is increasing after 3 minutes is 9.5 beats per minute
<h3>How to determine the beat rate after 3 minutes?</h3>
The given graph shows the curve and the tangent.
From tangent line, we have the following points:
(x,y) = (3,119) and (1,100)
The beat rate (m) at this point is:

So, we have:

Evaluate the differences

Evaluate the quotient
m = 9.5
Hence, the rate at which Sam's pulse is increasing after 3 minutes is 9.5 beats per minute
Read more about rates of tangent lines at:
brainly.com/question/6617153
#SPJ1
Answer:
in the intersection region of all the solution in the system.