Question

homework five:

x	y
6	-6
0	-3
-6	0

slope (m):
y-intercept (b):
homework six:

x	y
-4	3
0	-1
4	-5
8	-9

slope (m):
y-intercept (b):

Explanation:

HOMEWORK FIVE:

Step1: Choose two points

We take the points \((6, -6)\) and \((0, -3)\) (we can also use other pairs, the result will be the same). The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(6, -6)\) and \((x_2,y_2)=(0, -3)\).
\(m=\frac{-3 - (-6)}{0 - 6}=\frac{-3 + 6}{-6}=\frac{3}{-6}=-\frac{1}{2}\)

Step2: Find the y - intercept

The y - intercept \(b\) is the value of \(y\) when \(x = 0\). From the table, when \(x = 0\), \(y=-3\), so \(b=-3\)

Step1: Choose two points

We take the points \((-4,3)\) and \((0, -1)\). Using the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\), let \((x_1,y_1)=(-4,3)\) and \((x_2,y_2)=(0, -1)\)
\(m=\frac{-1 - 3}{0 - (-4)}=\frac{-4}{4}=-1\)

Step2: Find the y - intercept

The y - intercept \(b\) is the value of \(y\) when \(x = 0\). From the table, when \(x = 0\), \(y = - 1\), so \(b=-1\)

Answer:

Slope (\(m\)): \(-\frac{1}{2}\)
Y - intercept (\(b\)): \(-3\)

HOMEWORK SIX: