Question

I need help please!

Answer 1

`\Huge \boxed{y=3x+6}`

Explanation:

y = mx + b

m = slope

b = y-intercept

The slope can be found from two points.

`\displaystyle m=(y_2-y_1)/(x_2-x_1)`

The two points from the graph are (1, 9) and (2, 12).

Plugging in the values and evaluating.

`\displaystyle m=(12-9)/(2-1)`

`\displaystyle m=(3)/(1)`

`m=3`

The slope of the line is 3.

The y-intercept of the line is where the line cross the y-axis.

The line crosses the y-axis at (0, 6).

`b=6`

The slope-intercept form of the line is:

`y=3x+6`