Question

for the equation shown below, the slope =
and the y-intercept is the
point ( , ).
$-7y = 14x + 56$
question 8
5 pts
the slope between the points (9, 3), (19, -17) is blank1...

Explanation:

Step1: Rewrite equation in slope-intercept form

Divide all terms by $-7$:
$$\frac{-7y}{-7} = \frac{14x}{-7} + \frac{56}{-7}$$
$$y = -2x - 8$$

Step2: Identify slope from the equation

Slope is the coefficient of $x$:
$$m = -2$$

Step3: Identify y-intercept point

Y-intercept occurs at $x=0$, substitute $x=0$:
$$y = -2(0) - 8 = -8$$
So the point is $(0, -8)$

Step4: Calculate slope between two points

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ with $(x_1,y_1)=(9,3)$ and $(x_2,y_2)=(19,-17)$:
$$m = \frac{-17 - 3}{19 - 9} = \frac{-20}{10} = -2$$

Answer:

For the equation $-7y=14x+56$:
Slope = $-2$
Y-intercept point: $(0, -8)$

For the slope between $(9, 3)$ and $(19, -17)$:
$-2$