Question

for exercises 2-6, complete the table below.

\

$$\begin{tabular}{|c|c|c|c|} \\hline & slope & y-intercept & equation of line \\\\ \\hline 2. & -7 & 0 & \\\\ \\hline 3. & \\frac{2}{3} & \\frac{7}{9} & \\\\ \\hline 4. & -1 & 10 & \\\\ \\hline 5. & -\\frac{5}{6} & -2 & \\\\ \\hline 6. & 0 & 9 & \\\\ \\hline \\end{tabular}$$

1. identify the slope and one point on the line shown at the right. then write an equation of the line.

Explanation:

Write equations for the table

Using the Slope-Intercept Form and y-intercept knowledge points

$$
LATEXBLOCK0
$$

Find slope and point from graph

Using the Slope Formula and y-intercept knowledge points

$$
LATEXBLOCK1
$$

Write equation for the graphed line

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK2
$$

Answer:

Question 1

No.	Slope	y-Intercept	Equation of Line
3	\(\frac{2}{3}\)	\(\frac{7}{9}\)	\(y = \frac{2}{3}x + \frac{7}{9}\)
4	\(-1\)	\(10\)	\(y = -x + 10\)
5	\(-\frac{5}{6}\)	\(-2\)	\(y = -\frac{5}{6}x - 2\)
6	\(0\)	\(9\)	\(y = 9\)

Question 2

• Slope: \(\frac{2}{3}\)
• One point on the line: \((0, 1)\) (or \((3, 3)\))
• Equation of the line: \(y = \frac{2}{3}x + 1\)