Question

7. Write an equation in slope-intercept form that passes through (-3,-3) and (-1, 3).

Answer 1

The correct answer is y = 3x + 6

Answer 2

`y=3x+6`

Explanation:

In order to create an equation in slope-intercept form, we need to first find the slope of the line. In order to do this, we use the equation:

`(y2-y1)/(x2-x1) =m`

Plug your two coordinates into this equation:

`((3--3))/((-1--3)) = (6)/(2) = 3`

Now, you can add the slope to the slope-intercept formula. We still need to find b, though.

`y=3x+b`

Choose one coordinate you were given and plug in x and y.

`3=3(-1)+b\\3=-3+b\\6=b`

Hence, your equation is:

`y=3x+6`