Andy is solving a quadratic equation using completing the square. if a step in the process results in 169/9 = (x – 6)2, could the original quadratic equation be solved by factoring? explain your reasoning.

Both169 and 9 are perfect squares.

The square root of 169/9 is rational.

Six plus 13/3 is a rational number, and 6 minus 13/3 is also a rational number.  

If the solutions of a quadratic equation are rational, then the equation is factorable.

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is