What is the slope-intercept form of the equation of a line that passes through (1, –6) with a slope of 5?
a)
y = 5x + 11
b)
y = 5x + 1
c)
y = 5x – 11
d)
y = 5x – 6

c) y = 5x – 11

Step-by-step explanation:

The standard form of point-slope equation of line is:

y = mx+b

We know that

m = 5

Putting the value of m

y = 5x +b

To find the value of b, put the point in the equation

-6 = (5)(1)+b

-6 = 5+b

-6-5 = b

b = -11

Putting the values of b and m in standard form

y = 5x-11

Hence, option c: y = 5x – 11  is the correct answer ..

option c.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

In this case we know that the slope of the line is:

Knowing that it passes through the point (1, -6), we can substitute the coordinates into  and solve for "b":

Therefore, substituing values, we get that the equation of this line in Slope-Intercept form is:

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

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

step-by-step explanation:

the true ones are a b and d