Answer:
Equation: y = 3x + 2
Explanation:
Choose two points from line
Chosen Points: (1, 5) (1.5, 6.5)
[ Find Slope ]
[tex]\bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\bold{\left(x_1,\:y_1\right)=\left(1,\:5\right),\:\left(x_2,\:y_2\right)=\left(1.5,\:6.5\right)}[/tex]
[tex]\bold{m=\frac{6.5-5}{1.5-1}}[/tex]
[tex]\bold{m \ = \ 3}[/tex]
[ Find Y - Intercept ]
[tex]\bold{y=3x+b}[/tex]
[tex]\bold{\mathrm{Plug\:in\:}\left(1,\:5\right)\mathrm{:\:}\quad \:x=1,\:y=5}[/tex]
[tex]\bold{5=3\cdot \:1+b}[/tex]
Isolate B
[tex]\bold{5=3\cdot \:1+b}[/tex]
[tex]\bold{b \ = \ 2}[/tex]
[ y = 3x + 2 ]
