Write an equation for the line that contains (-5,3) and is parallel to y = -x - 7.

The parallel line would have an equation of y = -x - 2

Step-by-step explanation:

In order to find the equation of this line, we first have to note that parallel lines have same slopes. Therefore, since the original line has a slope of -1, we know the new line will have a slope of -1. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 3 = -1(x + 5)

y - 3 = -x - 5

y = -x - 2

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: