Question

I need help please!

Answer 1

Answer:

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

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

The slope can be found from two points.

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

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

Plugging in the values and evaluating.

$\displaystyle m=\frac{12-9}{2-1}$

$\displaystyle m=\frac{3}{1}$

$m=3$

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:

$y=3x+6$