Question

name sylvester williams date 2/10 block 1a
math 1b homework: writing equations in slope-intercept form
write each standard form equation in slope-intercept form. graph the equation when a graph is provided. (#4, 6, 8 )

1. $x + y = -1$
2. $2y = -1x - 8$
3. $-2x + y = 1$
4. $2x - 3y = 9$
5. $6x + 2y = 12$
6. $3x - 5y = 10$
7. $2x - y = 4$
8. $6x + 2y = -6$

Explanation:

Step1: Isolate $y$ for #1

$x + y = -1 \implies y = -x - 1$

Step2: Isolate $y$ for #2

$2y = -x - 8 \implies y = \frac{-x - 8}{2} = -\frac{1}{2}x - 4$

Step3: Isolate $y$ for #3

$-2x + y = 1 \implies y = 2x + 1$

Step4: Isolate $y$ for #4

$2x - 3y = 9 \implies -3y = -2x + 9 \implies y = \frac{2}{3}x - 3$

Step5: Isolate $y$ for #5

$6x + 2y = 12 \implies 2y = -6x + 12 \implies y = -3x + 6$

Step6: Isolate $y$ for #6

$3x - 5y = 10 \implies -5y = -3x + 10 \implies y = \frac{3}{5}x - 2$

Step7: Isolate $y$ for #7

$2x - y = 4 \implies -y = -2x + 4 \implies y = 2x - 4$

Step8: Isolate $y$ for #8

$6x + 2y = -6 \implies 2y = -6x - 6 \implies y = -3x - 3$

Answer:

1. $y = -x - 1$
2. $y = -\frac{1}{2}x - 4$
3. $y = 2x + 1$
4. $y = \frac{2}{3}x - 3$ (Graph: Plot y-intercept $(0, -3)$, then use slope $\frac{2}{3}$ to plot another point (right 3, up 2) and draw the line)
5. $y = -3x + 6$
6. $y = \frac{3}{5}x - 2$ (Graph: Plot y-intercept $(0, -2)$, then use slope $\frac{3}{5}$ to plot another point (right 5, up 3) and draw the line)
7. $y = 2x - 4$
8. $y = -3x - 3$ (Graph: Plot y-intercept $(0, -3)$, then use slope $-3$ to plot another point (right 1, down 3) and draw the line)