Question

Help me thank u ……..

Answer 1

Answer: y=5/3 x-2

Explanation:

y=mx+b

(3,3) (0,-2)

`\displaystyle\\\boxed{(x-x_1)/(x_2-x_1)=(y-y_1)/(y_2-y_1) }`

x₁=3 x₂=0 y₁=3 y₂=-2

`\displaystyle\\(x-3)/(0-3) =(y-3)/(-2-3) \\\\(x-3)/(-3) =(y-3)/(-5) \\`

Multiply both parts of the equation by -5:

`\displaystyle\\(5)/(3)(x-3)=y-3 \\\\\ (5)/(3) x-5=y-3\\\\ (5)/(3) x-5+3=y-3+3\\\\\ (5)/(3) x-2=y\\\\Thus,\ y=(5)/(3)x-2\\`

Answer 2

y = 5/3 x - 2

Explanation:

y = mx + b

The m stands for the slope (steepness of the line)

The y stands for the y intercept.

The y intercept is where on the y axis does the line cross? It crosses at (0,-2) so we say that it crosses at -2.

Slope. Start at the bottom point, from that point go vertically up 5 spaces and then go 3 spaces horizontally right. slope 5/3