Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

The equation of the Line graph is y=___x + ___.

Answer 1

`y = mx +b`

With m the slope and b the intercept

For this case the intercept can be identified as b =3 since is the intersection value at the y axis (x=0).

The slope can be founded using any two points. For instance we can select (0,3) and (-2,0) and we have the following formula:

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

And replacing we got:

`m =(0-3)/(-2-0)= (3)/(2)`

And then our equation would be given by:

`y = (3)/(2)x +3`

Explanation:

We need to find a equation in the form:

`y = mx +b`

With m the slope and b the intercept

For this case the intercept can be identified as b =3 since is the intersection value at the y axis (x=0).

The slope can be founded using any two points. For instance we can select (0,3) and (-2,0) and we have the following formula:

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

And replacing we got:

`m =(0-3)/(-2-0)= (3)/(2)`

And then our equation would be given by:

`y = (3)/(2)x +3`