Write the equation of the line passing through the given point that is perpendicular to the given line.
12. y = - 4x + 7: (4,2)

The equation of the line passing through the given point that is perpendicular to the  given line y = - 4x + 7: (4,2) is

Step-by-step explanation:

Write the equation of the line passing through the given point that is perpendicular to the  given line.

y = - 4x + 7: (4,2)

The equation of required line will be in slope-intercept form where m is slope and b is y-intercept.

We need to find slope and y-intercept

Finding slope:

When two lines are perpendicular their slopes are opposite reciprocal of each other.

So, slope of given line = -4 ( Comparing with m = -4)

Now, slope of required line will be: m =1/4 (Opposite reciprocal)

Finding y-intercept

y-intercept can be found using m = 1/4 and point (4,2)

So, we get b = 2

Now, Equation of line

Equation of line having slope m = 1/4 and y-intercept b = 2 is:

So, the equation of the line passing through the given point that is perpendicular to the  given line y = - 4x + 7: (4,2) is

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.