Question

PLEASE ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR

Answer 1

Answer:

Equation: y = 3x + 2

Explanation:

Choose two points from line

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

[ Find Slope ]

$\bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}$

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

$\bold{m=\frac{6.5-5}{1.5-1}}$

$\bold{m \ = \ 3}$

[ 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 ]