Question

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Answer 1

Equation: y = 3x + 2

Step-by-step explanation:

Choose two points from line

Chosen Points: (1, 5) (1.5, 6.5)

[ Find Slope ]

`\bold{\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)}`

`\bold{\left(x_1,\:y_1\right)=\left(1,\:5\right),\:\left(x_2,\:y_2\right)=\left(1.5,\:6.5\right)}`

`\bold{m=(6.5-5)/(1.5-1)}`

`\bold{m \ = \ 3}`

[ Find Y - Intercept ]

`\bold{y=3x+b}`

`\bold{\mathrm{Plug\:in\:}\left(1,\:5\right)\mathrm{:\:}\quad \:x=1,\:y=5}`

`\bold{5=3\cdot \:1+b}`

Isolate B

`\bold{5=3\cdot \:1+b}`

`\bold{b \ = \ 2}`

[ y = 3x + 2 ]