Write the equation of a line that includes the point (1,5) and has a slope of 3
in standard form

The standard form would be -3x + y = 8

Step-by-step explanation:

To find this, start with point-slope form and then solve for the constant.

y - y1 = m(x - x1)

y - 5 = 3(x - 1)

y - 5 = 3x - 3

-3x + y - 5 = 3

-3x + y = 8

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.