12) Write an equation for a line in

slope-intercept form passes

through (3, 3) and (-6,-3).

The equation is y = 2/3x + 1.

Step-by-step explanation:

To write a slope-intercept form equation for this problem, first you need to write the formula for the slope of a line.

The slope formula is rise/run.

The rise from (3,3) to (-6,-3) is - 6.

The run from (3,3) to (-6,-3) is - 9.

That makes the slope - 6/-9, which is simplified to 2/3.

So the simplified slope is 2/3.

To find the y-intercept, locate it by using the slope.

It should be between (3,3) and (-6,-3).

(3 - 3, 3 - 2) = (0,1). The y-intercept is (0,1).

So the equation is y = 2/3x + 1.