Answer:
5. [tex]y=\frac{1}{3}x-3[/tex]
6. [tex]y=\frac{1}{4}x+4[/tex]
7. [tex]y=-5[/tex]
8. [tex]y=x+5[/tex]
9. [tex]y=\frac{-1}{2}x+6[/tex]
10.[tex]y=-4x+2[/tex]
Step-by-step explanation:
5. Slope = [tex]\frac{-1-0}{6-9}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]
[tex]y=\frac{1}{3} x+b\\0=\frac{1}{3}(9)+b\\0=3+b\\b=-3[/tex]
6. Slope => [tex]\frac{2-6}{-8-8} = \frac{-4}{-16} = \frac{1}{4}[/tex]
[tex]y = \frac{1}{4} x+b[/tex]
[tex]6=\frac{1}{4}(8)+b\\6=2+b\\b=4[/tex]
7. Slope => [tex]\frac{-5-(-5)}{-4-7}=\frac{0}{-11} =0[/tex]
[tex]y=-5[/tex]
8. Slope => [tex]\frac{4-7}{-1-2} = \frac{-3}{-3} = 1[/tex]
[tex]y=x+b\\7=2+b\\b=5[/tex]
9. Slope => [tex]\frac{10-4}{-8-4} = \frac{6}{-12}= \frac{-1}{2}[/tex]
[tex]y=\frac{-1}{2}x+b\\4= \frac{-1}{2}(4)+b\\4=-2+b\\b=6[/tex]
10. Slope => [tex]\frac{14-2}{-3-0} =\frac{12}{-3} =-4[/tex]
[tex]y=-4x+b\\2=-4(0)+b\\b=2[/tex]
