- Class: Honors Algebra 2
- Author: Peter Atlas
- Text:
__Algebra and Trigonometry: Structure and Method__, Brown

- Given \(y = 4x + 2\)
- Find the line's x-intercept(s)
- Find the line's y-intercept(s)
- Find the line's slope.
- Write the equation of the line in standard form.

## Solution

\( \displaystyle \left( -\frac{1}{2}, 0 \right) \)## Solution

(0, 2)## Solution

4## Solution

\(4x - y = -2\) - Given \( \displaystyle y - 6 = \frac{3}{4}(x + 1)\)
- Find the line's x-intercept(s)
- Find the line's y-intercept(s)
- Find the line's slope.
- Write the equation of the line in standard form.

## Solution

(-9, 0)## Solution

\( \displaystyle (0, \frac{27}{4}) \)## Solution

\( \displaystyle \frac{3}{4}\)## Solution

\(3x - 4y -27\) - Given \( \displaystyle -\frac{x}{8} + \frac{2y}{3} = 1 \)
- Find the line's x-intercept(s)
- Find the line's y-intercept(s)
- Find the line's slope.
- Write the equation of the line in standard form.

## Solution

(-8, 0)## Solution

\( \displaystyle \left( 0, \frac{3}{2}\right) \)## Solution

\( \displaystyle \frac{3}{16}\)## Solution

\( 3x - 16y = -24\) - Given \( 3(2x - 7) = 6x + 9y \)
- Find the line's x-intercept(s)
- Find the line's y-intercept(s)
- Find the line's slope.
- Write the equation of the line in standard form.

## Solution

There is no x-intercept## Solution

\( \displaystyle \left( 0, -\frac{7}{3} \right) \)## Solution

0## Solution

\( 0x + 3y = -7\) - Given \( -9x + 6y = -2 \)
- Find the line's x-intercept(s)
- Find the line's y-intercept(s)
- Find the line's slope.
- Write the equation of the line in standard form.

## Solution

\( \displaystyle \left( \frac{9}{2}, 0 \right) \)## Solution

\( \displaystyle \left( 0, -\frac{1}{3} \right) \)## Solution

\( \displaystyle \frac{3}{2} \)## Solution

\( 9x - 6y = 2 \) - Find the equation of the line through the points (8, -1) and (3, -2). Answer in standard form.
- Find the equation of the line parallel to the line 5x + 8y = 7 that goes through the point (4, 0). Answer in standard form.
- Find the equation of the perpendicular bisector of the segment through the points (5, 1) and (-2, 13). Answer in standard form.
- Find the equation of the line through (12, 21) perpendicular to the line y = 3. Answer in standard form.
- Find the equation of the line parallel to the y-axis that goes through the point (4, -1). Answer in standard form.
- Find the equation of the line with y-intercept (0, 9) with no x-intercept. Answer in standard form.
- Find the equation of the line with slope 3 and x-intercept 4. Leave your answer in the easiest form.
- Find the equation of the line with y-intercept \( \displaystyle -\frac{3}{2}\) and the same slope as \( \displaystyle \frac{x}{2} = -2y + 1\). Leave your answer in the easiest form.
- Find the equation of the line with slope 0 through (-2, 6). Leave your answer in the easiest form.
- Find the equation of the line through (4, 9) with the same slope as x = 10. Leave your answer in the easiest form.
- Find the equation of the line through (3, -1) and parallel to 4x - 3y = 16. Leave your answer in the easiest form.
- Find the value of \(a\) for which the line through points P\( \displaystyle \left( 4, \frac{1}{a + 1} \right)\) and Q(10, 3) have the same slope as the line \(-4x + y = 18\).