What is the equation of the line that passes through the point (5,-7) and has a slope of -1?

The equation of the line is y = -x - 2

Step-by-step explanation:

In order to find this, we plug the information given into point-slope form. Once we have this, we can solve for the slope intercept form of the equation.

y - y1 = m(x - x1)

y - -7 = -1(x - 5)

y + 7 = -x + 5

y = -x - 2

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2