Answer:
3. [tex]\displaystyle x-intercept: [-4\frac{1}{2}, 0] \\ y-intercept: [0, -9] \\ Slope-Intercept\:Form: y = -2x - 9[/tex]
2. [tex]\displaystyle x-intercept: [5, 0] \\ y-intercept: [0, 1] \\ Slope-Intercept\:Form: y = -\frac{1}{5}x + 1[/tex]
1. [tex]\displaystyle x-intercept: [4, 0] \\ y-intercept: [0, -3] \\ Slope-Intercept\:Form: y = \frac{3}{4}x - 3[/tex]
Step-by-step explanation:
−2x - y = 9
x-intercept → Plug in 0 for y to get −4½ for x
y-intercept → Plug in 0 for x to get −9 for y
−2x - y = 9
+ 2x + 2x
_________
[tex]\displaystyle \frac{-y}{-1} = \frac{2x + 9}{-1}[/tex]
[tex]\displaystyle y = -2x - 9 →[/tex]Slope-Intercept Form
_______________________________________________
x + 5y = 5
x-intercept → Plug in 0 for y to get 5 for x
y-intercept → Plug in 0 for x to get 1 for y
x + 5y = 5
- x - x
_________
[tex]\displaystyle \frac{5y}{5} = \frac{-x + 5}{5}[/tex]
[tex]\displaystyle y = -\frac{1}{5}x + 1 →[/tex]Slope-Intercept Form
_______________________________________________
3x - 4y = 12
x-intercept → Plug in 0 for y to get 4 for x
y-intercept → Plug in 0 for x to get −3 for y
3x - 4y = 12
- 3x - 3x
_________
[tex]\displaystyle \frac{-4y}{-4} = \frac{-3x + 12}{-4}[/tex]
[tex]\displaystyle y = \frac{3}{4}x - 3 →[/tex]Slope-Intercept Form
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