findt he value of x and the value olf y for witch (x,10) and (-7,y) and points on the graph of y= 1/7 x +10

Question

find t he value of x and the value of y for witch (x,10) and (-7,y) and points on the graph of y= 1/7 x +10

Answer 1

In the first ordered pair, the value of y is provided (10); Plug this into the equation provide to solve for x, as follows:

y=1/7 x + 10

10=1/7 x + 10

Subtract 10 from both sides;  10-10=1/7 x + 10-10  or 0 = 1/7 x

Multiply both sides by 7, results in 1x=0  or  x=0.

So the first ordered pair is (0,10)

In the 2nd ordered pair, the value of x is provided (-7); Plug this into the equation to solve for y, as follows:

y= 1/7 x + 10

y= (1/7)(-7) + 10

y= -1 + 10

y=9

So the 2nd ordered pair is (-7, 9)

 

Answer 2

The ordered pairs (x, 10) and (-7, y) are simply of the form (x1, y1), where each x1 and y1 represents a position in that dimension on the "coordinate plane". So, taking (x, 10), we are to find "x" given that y = 10. This is where the rule y = 1/7x + 10 comes into play. If y = 10, then our rule says that 10 = 1/7x + 10 (we replace the variable "y" with the "literal" number 10). We then use algebra to simplify:

10 = 1/7x + 10

10 - 10 = 1/7x + 10 - 10 (subtract 10)

0 = 1/7x + 0

1/7x * 7 = 0 * 7 (multiply by 7)

1 * x = 0

x = 0 (1 is the multiplicative identity, so that 1 * x = x)

So, the first ordered pair is (x, 10) = (0, 10). For the second ordered pair, we look at the same rule with (-7, y). Now, we solve for y when x = -7:

y = 1/7x + 10

y = 1/7 * (-7) + 10

y = 1 * (-7)/7 + 10

y = 1 * (-1) + 10

y = -1 + 10

y = 9

This second problem simply needed some arithmetic work, which is shown above. So, the second ordered pair is (-7, y) = (-7, 9).