Question

*PLEASE HELP WILL GIVE 60 POINTS I'M DESPERATE*

Answer 1

Answer:

y-intercept = (0, 3)

Step-by-step explanation:

This table models a linear function:

$\begin{tabular}{| c | c |}\cline{1-2} x & y \\\cline{1-2} -8 & -3\\\cline{1-2} -4 & 0\\\cline{1-2} 4 & 6\\\cline{1-2} 8 & 9\\\cline{1-2} \end{tabular}$

Find the slope:

$\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{9-6}{8-4}=\dfrac{3}{4}$

Use one of the points (-4, 0) and the found slope to form a linear equation using the point-slope formula:

$\begin{aligned}y-y_1 & =m(x-x_1)\\\\\implies y-0 & =\dfrac{3}{4}(x-(-4)\\\\y & =\dfrac{3}{4}x+3\end{aligned}$

The y-intercept is when x = 0:

$\implies y=\dfrac{3}{4}(0)+3=3$

Therefore, the y-intercept is (0, 3)

Answer 2

Answer:

(0, 3)

Step-by-step explanation:

1. Find the slope:

$\frac{y_{2} -y_{1} }{x_{2}-x_{1} } =\frac{0-(-3)}{-4-(-8)}\\ \\=\frac{3}{4}$

2. Calculate the y-intercept using a given point:

(-8, -3)

-3 = $\frac{3}{4} (-8)$ + b

-3 = -6 + b

-3+6 = -6+6 + b

3 = b

3. Write in slope intercept form:

$y= \frac{3}{4} x+3$

Therefore, the y-intercept is 3.

The graph for this table is shown below.

hope this helps :)