Find the coordinates of the point 7/10
of the way from A to B.
A(-3,-7)B(11,6)

(6.8, 2.1) are the coordinates of the desired point.

Step-by-step explanation:

First find the changes in x and y that occur here.  From (-3, -7) to (11, 6), x increases by 14 and y increases by 13.

Seven tenths of the way from A to B in the x direction is (7/10)(14 units) = 9.8 units.  Seven tenths of the way from A to B in the y direction is

(7/10)(13 units) = 9.1 units.

We position ourselves at the starting point (-3, -7) and increase both x and y appropriately to determine the point 7/10 of the way from the first to the second:

(-3 + 9.8, -7 + 9.1), or

(6.8, 2.1) are the coordinates of the desired point.

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)