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

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40