Hey!
1.) [tex]y = 3x + 4 \\ y = 2x - 7[/tex]
Compare with y=mx+b or y=mx+c
- [tex]m_{1} = 3 \: , m_{2} = 2[/tex]
Steeper: y = 3x + 4
2.) [tex]y = - 6x + 2 \\ y = 4x - 1[/tex]
- [tex]m_{1} = -6 \: , m_{2} = 4[/tex]
Steeper: y = -6x+2
3.) [tex]y = \frac{2}{3} x + 4 \\ \\ y = \frac{1}{5} x - 5[/tex]
- [tex]m_{1} = \frac{2}{3} \: , m_{2} = \frac{1}{5}[/tex]
Steeper: [tex]\large\bold{\frac{2}{3}}[/tex]
4.) [tex] x + 2y = 7 \\ y = 2x[/tex]
- [tex]m_{1} = - \frac{1}{2} \: , m_{2} = 2[/tex]
Transform first to slope intercept form :
- [tex]x + 2y = 7 \\ \rightarrow 2y = - x + 7 \\ \therefore m_{1} = \boxed{ - \frac{1}{2}} [/tex]
- y = 2x + 0 ay nasa slope intercept form na
Ginawa ko lang siyang + 0 para masunod ang rule of linear inequality.
Steeper: 2
5.) [tex]4x + y = 12 \\ x + 3y = 8[/tex]
- [tex]m_{1} = 4 \: , m_{2} = - \frac{1}{3}[/tex]
Same with number 4 change to slope intercept form:
- [tex]x + 3y = 8 \\ \rightarrow 3y = - x + 8 \\ = \frac{ \cancel \red3y = - x + 8}{ \cancel \red3} \\ [/tex]
From this solution;
Hence [tex]m_{2}= - \frac{1}{3}[/tex]
Steeper: 4
Note that the greater the slope the steeper the line.
Ibig sabihin ang may mas mataas na slope, iyon ang may steeper line.
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