To find the slope, use the simple rule rise/run. The change in the y value over the change in the x value. The y changes by -1 when the x changes by positive 2. Therefore, the slope is -1/2.

4 0

2 years ago

What is the y1 of 3x-5y=20

Aliun [14]

Unsure of what you mean by "y1."

If you wish to solve this eqn for y, do this:
-5y = - 3x + 20,
-3x + 20
y = ---------------- = (3/5)x - 4 (answer)
-5

5 0

3 years ago

Which shows all the critical points for the inequality x2-4/x2-5x+6<0

Hoochie [10]

Answer:

x = ±2, 3 are the critical points of the given inequality.

Step-by-step explanation:

The given inequality is $\frac{(x^{2}- 4)}{x^{2}-5x+6}$

To find the critical points we will equate the numerator and denominator of the inequality to zero.

For numerator,

$x^{2}-4=0$

(x - 2)(x + 2) = 0

x = ±2

For denominator,

x² - 5x + 6 = 0

x² - 3x -2x + 6 = 0

x(x - 3) -2(x - 3) = 0

(x - 3)(x - 2) = 0

x = 2, 3

Therefore, critical points of the inequality are x = ±2, 3 where the sign of the inequality will change.

7 0

3 years ago