Angelique Calculated the slope of a line that passed through points (-5,4) and (2,-3) her work is shown below. identify her error and correct her mistakes.

To find the slope, we divide difference of y coordinates with the difference of x coordinates.

Angelique did the same but in x coordinates she should have done 2 - (-5) which is 2 + 5. This was her error.

CORRECTION:

Hope this helps :)

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m =

with (x₁, y₁ ) = (- 5, 4 ) and (x₂, y₂ ) = (2, - 3 )

m =

Her error was subtracting 5 from 2 instead of - 5 from 2

m = = = - 1 ← corrected solution

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.